but how much of it could be compensated for with very sensitive receivers?
We have been at the physical receiver limit for years. Even a room temperature receiver is pretty marvellous, about 0.3dB NF. Professional gear can be liquid nitrogen cooled. You can now only have bigger dishes and more off them. My rough figures are based on both ends pointing at each other with crazy big arrays of crazy big dishes.
The limit is Cosmic background noise. I can have good enough gear here that out performs that at room temperature!
The Pluto probe is really very close, very low data rate and VERY big dishes this end. The New Horizons or ANY probe / satellite has to point its dish exactly at us or we can't communicate at all.
Even a big dish still has a an inverse square law, it's just collecting more signal (aperture), gain. So with a 46dB dish gain my signal is that much stronger, but 10 times distance is still 100 times weaker (20dB).
Pretty much even if both ends of 100 light years away planet pointed giant dishes, it's still dubious. Maybe at 10 LY.
Round trip time is Light Years distance x2 as years.
Both beamed and omni radio is coherent, like a laser is. Gain goes up with cube of frequency for a dish, so optical laser and dish has more range than radio for same dish size and power. That needs to be in space as atmosphere is a problem. Also inherently easier to do 1000x power of radio than optical. SETI mostly just listens, unless someone is less than 10 to 100LY AND pointing at us, we can hear them.
With Spectroscopic Analysis the "transmitter" is an entire star! Any molecules in the atmosphere of planet cause dips in the star's spectrum as the planet transits the star. We KNOW this works and HAVE used to to discover what gases are in atmosphere of distant planets. The next Space Telescope (James Web?) will be far better than ground based or Hubble doing this.
A Star is billions of times more powerful than any planetary based laser or radio transmitter!
So really the chances of detecting a signal are, sadly (very sadly), vanishingly small.
Zero I would say!
Then just suppose you have detected chemicals indicative of a technological civilisation and so decide to transmit a signal at them.
I think we can't transmit anything by radio or laser.
1) They'd have to be looking at us
2) You'd need about a hundredth of the power of the sun for any likely destination, and they need to be looking at us.
3) It's not possible with any known practical or theoretical technology to reach more than maybe 5LY to 20LY, at a very slow data rate, AND they would need to be pointing a massive array of dishes straight at us!
Oddly sending a physical probe is possible. It would take a very very long time. But is more likely to work!