I agree, it seems to all boil down to what you are measuring a trumpet player by.
I have known players who can play all around the horn, possess an excellent upper register, and yet, leave me cold musically.
I have known players who constantly struggle with the horn, but musically, I would rather listen and play with them than any of the above type players.
Then there are the guys that have it all.
Sometimes I think that due to the fact this instrument is such a beast to play we tend to forget as trumpet players what music is really about.
It's communication. The general audience usually doesn't care about pyrotechnics, they want to be communicated to. Herb was a master at that, Chris Botti too. Instead of some arcane language that only a few speak, they both choose a more popular language, one that is more accessible to the average person. They also do it better than pretty much anyone else out there doing it.
So to me, that is a very important measure of a trumpet player.