That logic is nonsense. On the track, the big variable is driver skill, much MUCH more so than differences between cars' capabilities. Very few of us are using such a high percentage of their capabilities that the difference in cars matters.
I guess I should have added "by drivers of equal skill." What I have observed is drivers I used to be able to pass with ease have acquired newer cars which are much more difficult or even impossible to keep up with. They don't necessarily corner any better but some of these cars can brake later and most of them are much quicker down the straight. The drivers man not be any better than before but they lap faster.
On the skill note, a couple of years ago I had driver who wanted to show me a new line through a curve. His car was in the shop and he had a rental. I and another fellow in an M3 had some difficulty keeping up with him because he could drive so well. I've seen the same thing from Mid-Ohio School instructors. So, I agree with what you are saying, but other things being equal, the car is a factor.