I found it annoying, even a bit insulting, that they kept referring to the people in the capsule as "astronauts". I could understand if they did it for Wally Funk, as she actually did the training back in the day, but the rest? When rich people were allowed in the ISS they were called "tourists", which is befitting.
I leave all of that aside, and agree with you on egalitarian and emotional grounds. The term in America rightly has implications of public service - of deserving the fantastically unique opportunity of exploring space on behalf of all Americans by virtue of intelligence, diligence, and impeccable ethics. Topically, this might be compared to Olympians: though all extreme athletes perform extraordinary feats, Olympians carry an extra responsibility to represent us as a nation. So too with people called "astronauts."
Whether or not one agrees with this understanding, I believe it is the practical understanding underlying your (and my) insult at the use of this term.