**** I understand that improving my non-ideal room acoustics would be helpful .... but for now that is totally impossible for non-technical (WAF) reasons. ...
In that case, I would probably not even bother to try to improve the sound. You will likely spend a lot of money for little or no improvement.
The only way more power will help is if your current amplifier is unable to cleanly drive your speakers to the levels you require. If there is excessive distortion from high volumes, that could be the cause, or it could be the speakers distorting due to nearing or reaching their limits, or it could be both the amplifier and speakers are reaching their limits. Speakers, too, have their volume limits, and as one approaches the limits of a speaker, distortion tends to rise rapidly. If the problem is due to the speakers reaching their limits, more power will do nothing to improve the sound. But it will lower the amount in your bank account. If the distortion is due to the amplifier reaching its limits, then more power would help.
Given the particular products in question, and given that we are discussing orchestral music, it is peak output power that will likely matter most. Judging from
KEF's claims about your speakers, your amplifier should be able to cleanly drive your speakers to at least very near their limits, and I would be surprised if you could get more than about 3dB or so out of your speakers with more power. (With a sensitivity of 90dB, and a maximum output of 112dB, that 112dB should be reached at about 160 watts. 80 watts would get 109dB. Now, this will not be exact, due to the fact that speakers tend to compress the sound when reaching their limits, but I doubt you are going to get much more out of your speakers with a more powerful amplifier.)
If you require higher volumes (or the same volume done with less distortion), you almost certainly need to replace the speakers.
You can experiment with moving the speakers to different places in the room, and moving your listening position in the room, to effectively change the room acoustical interaction with the sound you are hearing. You may (or may not) prefer some such change. But it will not cure an echo.
But, by sitting closer to your speakers, you can effectively increase the volume, which will mean that you can turn down the volume control and reduce the distortion your speakers and amplifier are generating. There are, of course, limits to how close one can sit to speakers, and it will have other effects on the sound as well.