Jim, I think it depends on the individual and on what you define as a taper.
For a half marathon, I think it is wise for the
average person to have a 4-6 day taper. Cut mileage dramatically? No. But cut, yes. Easy day before the race? Definitely. Just because you are feeling good doesn't mean a 10 miler the day before the race is a good idea. It is generally a bad idea and I believe it will affect most people's performance.
But yes, I am aware that some people should taper less then others. How much is individual and is something that we learn through our own experiences.
I disagree with the blanket statement that if you are feeling beat up at your mileage level you are training above yourself. Ideal training will stress your body. My understanding is that is the whole point. Stress, recover, repeat. Of course by beat up, I mean heavy legs, etc. I do not mean injury. If training is so
easy that you do not feel like you have to taper to have an ideal race, particularly for longer races, I do not think you are training hard enough. Again, I don't mean running yourself into the ground, but training isn't supposed to be super easy if you are going to stimulate all of your systems properly.
Do understand that I am more than happy to keep an open mind on the whole issue. I have run many a PR on no taper at all because I am usually marathon training so I cannot afford to taper for shorter races.

But I believe I could up those PRs if I trained specifically for the distance and added a short taper.
Out of curiosity, are you against tapering for long races such as marathons and ultras also?