you make good points, but almost every great physical warrior/military person in aSoIaF has been defeated or in some way been disempowered. Gregor, Oberyn, Ned Stark, Brienne, Strong Belwas, Sandor, Berric Dondarieon, Loras, BF Selmy (old age), Syrio (maybe), Jorah, Tywin, etc. The people behind the scenes wield the power and "keep paddling along". I don't think GRRM is going to take the "he who has the biggest...sword will win" route.
I agree... But the whole Jon progression with his sword training is very obvious... We saw the other guys sword skills but not their progression in those skills like Jon. All those people you named are pretty much at their max in fighting skill... Jon is a work in progress and GRRM is clearly showing us that with the practice scenes...
When GRRM put Jon against Mance he showed us that Jon isn't ready... I don't think the "who has the biggest sword" is all the series about but it matters. When it all said and done like in all things, the sword has the last word... The smartest civilization rarely survive... It's usually the most aggressive...
And GRRM is making a big deal in the series about Lightbringer... He even told us of it's origin and the sacrifice AA had to make to forge the sword. The man who wield Lightbringer will be very good at using it... He will need to be to stand any chance against the Others...
And i would love a book about the original AA... That would be one awsome story...