You didn't make a spelling mistake, you used the wrong word
Did a quick google out of interest -
Irradicate - according to my Chrome's Spell Checker, which is UK English is a typo, however Google says it is a real word - but given that the 2 examples I looked at appeared to have been taken from Dictionaries 100 years or more ago, I suspect it's an archaic word no longer in usage.
Irradicate = "To Root Deeply"
Whilst
Eradicate = "To Destroy / Put an End to"
And the word you used in your first post was
Irradiate = "Expose (Someone or Something) to Radiation or to Illuminate (something) by or as if shining a Light on it"
As the Rotarian, Walter S. Young, an Assistant Superintendant of Schools at Worcester, Massachusetts, believed to have been the first person to have used the quote in the written form via a published work, if not the coiner of the phrase, wrote "Everyday is a School Day" And a random person using a wrong word on the Internet, irradiate has thus led me, via a joke, to discover a new word and its meaning, even if it's probably an archaic word that has long fallen out of fashion!
I love the way the internet not just allows, but encourages the increasing of personal knowledge, and the random tangents that can be triggered by a word, event or post. Without the internet, me, your good self, and any passing reader would have likely been left completely in the dark (indeed we would probably remain Unirradiated!!) and possibly spend the rest of our existences baffled, perhaps even tormented by our lack of illumination on the meaning since the chances of one of us browsing an old, long out of use and outmoded Dictionary and find the word there, eagerly awaiting our excited discovery!
I wonder where no longer used Words go when they pass on from this reality - is it the same place as missing Socks, Pens and coins, I wonder, or do they have their own special plane?
Of course, with the Internet and the way it provides easy access to vast hordes and stacks of information, it makes it quite hard to avoid the intent of another famous quote "Never meet your Heroes" though perhaps amended into "Never Read about your Heroes" since disappointment can ensue.
I don't know about perception outside the United Kingdom, and it's not quite phoney, since it's more about other peoples perception, though he had arrogance enough to believe his own marketing, I suspect, but to people in Great Britain who have never looked deeper, or who have bought the "Hero Myth and Aura" that surrounds him, Winston Churchill is an untarnished Hero, the man who not only Led the Nation during it's Worst Crisis, but did so at a time when the very existence of the Nation and anything and everything it held dear was under threat of destruction.
To say Winston was.... Flawed does not even begin to give an idea of the real Man behind the famous Cigar. He was an absolute Cad, since the real words that could describe him and his politics and many of his personal opinions are very rude. Ireland of course well remembers his "little idea" and the brutality and violence that ensued.
As he created ADRIC - the Auxiliary Division of the Royal Irish Constabulary. the premise was take former Commissioned Officers of the British Army, not long back home after the First World War, many of whom were damaged, emotionally scarred, suffering from what we now call Post Traumatic Stress Disorder, or had been severely dehumanised by their actions and experiences of fighting such a horrific conflict, give them Guns again, and send them to Ireland to fight a Counter Insurgency War against the IRA. They took Men turned brutal and vicious, and coming home to a nation with no real place or jobs, very Angry, and made them a Police Force, and the results were hardly unexpected, seeing many innocent Civilians beaten, seriously injured and killed - it was like whichever idiot thought it would be a good idea to send the Paras (Parachute Regiment now known as/part of the 16 Air Assault Brigade) to Northern Ireland in the early 70's - Britain's Airborne Infantry men trained by design to turn each recruit pretty much totally psychopathic, and vicious beyond words, which is pretty much what you want, and what is needed with a unit like theirs - they are Elite Shock Troops, designed and trained to Assault and hammer bloody big holes into the Enemies lines. And some twit thought it would be a good idea to send them into Northern Ireland, to act in a Civil Policing/Peacekeeping context, backing up and in some areas, replacing the Royal Ulster Constabulary. So it is hardly a surprise that Bloody Sunday happened.
Churchill was also behind the formation of the infamous "Black and Tans" formally known as the Royal Irish Constabulary Special Reserve - similar idea to the Auxiliaries, but recruited from Veterans at the Private/NCO class, rather than Officers. Same effect and brutality too. They or at least the concept even survived Partition and Independence for the Republic - as the "B Specials", more formally known as the "Ulster Special Constabulary" as pretty much exclusively a Protestant Force, their Policing of Northern Ireland was so impartial, and fair to both communities that when Great Britain had to deploy the British Army into the Province 1969, not to combat the IRA, remember, but to
protect the Catholic population from the excesses of the Stormont Parliament and the Organs of State, under it's control in treating and keeping the Catholic population as 2nd class citizens with few civil rights, which in itself is stunning and shocking that it was allowed to go on till 1969 - these were, personal politics of the Catholics aside, British Citizens, living within the borders of the United Kingdom of Great Britain and Northern Ireland, yet they had far fewer rights than anyone else, the Migrants arriving from the former Imperial Colonies / Nations of the British Commonwealth faced racism, but they didn't face lesser Civil Rights, they did not face restrictions on Voting in elections - Catholics did, Catholics tended not to own their homes in NI, and thus, you were only allowed to vote in elections if you owned your home, even I think, Businesses had a right to vote, so even in an area that was 90% Catholic say, the politicians for that area were all Protestant Union, the Ulster Special Constabulary were scrapped by Westminster and gone, replaced by the Ulster Defence Regiment by May 1970.
Ridiculously Churchill's original proposal for the Special Units to be established in Ireland was as a sort of "Irish Gendarmerie" but whilst the Gendarmes are tough, and you don't want to mess with them, they are a proper Police Force, with centuries of experience of and training in Policing Civil Communities, and like any type of Policeman, they protect the Public, all of them, and they enforce the law impartially and unbiased, nothing like the Irish Units created. It might have worked had they simply given the British Army's Military Police the job, at least then the "Special" Cops would have had training in Policing, and could have been led by long term and full time Military Police Officers and NCO's. Incidently, I think the Gendarmerie Nationale of France is the oldest and longest in existence, Police Force in the world - the Gendarmes were created in the middle ages, to ensure Justice, protection of the people and the enforcement of the law, in small towns and rural areas far away from Paris or any other large City, and to patrol the rural areas and countryside to protect movement and combat Bandits, thus it made sense they were a Military Provost Force with "Civil" roles, and that they took the form of Cavalry. They can and have been sent into Battle during Wars too, the last time being a Battle during the Napoleonic Wars. (I was surprised to discover that the Netherlands have a Gendarmerie, the Royal Netherlands Marechaussee) Britain is more or less the only, or one of only a tiny few European Nations that do not have some sort form of Gendarmerie, or Federal Uniformed Law Enforcement Agency.
Later on, when he learned that there were troubles in the British Mesopotamian Mandate (the Kingdom of, and later the Republic of Iraq) specifically that the Kingdom's Government were struggling with tax collection, as many were avoiding their taxes, especially out in the rural villages of the countryside. Winny's idea which thankfully was never adopted, but which Saddam Hussein would later try with great gusto, though for different reasons, was to send in the Royal Air force or Royal Artillery to carpet the recalcitrant Villages with Mustard Gas, or worse, to make an example of them, and to punish the tax avoidance. Her Majesty's Revenue & Customs like such organisations usually are in any Nation, enjoy astonishing, and in the pursuit of tax evasion very nearly unlimited powers, more so than the Police even (HMRC Can force Entry into Residential Homes without a Court Warrant) and often seem to consider themselves almost above the Law, Domestic & EU which in fairness, is practically how they are it seems sometimes, but even they would balk at the idea of using Chemical/Gas Weapons as punishment for Tax Evasion. He was a very unpleasant man, was Winny, and certainly not quite as Heroic as popular myth - ISTR that he was often a hindrance to his Senior Military Officers, much as Hitler could be, though not to the scale of Hitlers idiocy and the damage he caused his own war effort.
He was absolutely outraged when the Public voted him out of office in the General Election of 1945 - but whilst he may have been just the man to lead the Nation at War, but nobody was insane enough to put him in power during peacetime. I think at one point he even had to be talked out of using Royal Air Force dropped chemical/gas munitions on Germany, since it would have raised the stakes, and seen the same weapons dropped on British cities, not to mention Hitler was sent a strongly worded Message at the Outbreak of War, that if he dares use such weapons, Germany would be carpet bombed with the vile stuff.