I really wish I didn't have to explain such simple economic concepts to journalists, but since you are so hell bent on believing 250,000 is rich no matter what, I'll attempt it.
You seem to be trying to make the point that cost of living differences don't matter because you could always move to a cheaper place. (You call people who "want" to live on the coasts yuppies).
That doesn't quite add up, considering you probably wouldn't be able to earn the same salary at the cheaper place.
250,000 is just a number. It means absolutely nothing unless it can be associated with some goods/products. Why does it make me rich if I live in a place where the salaries are 2X but the cost of living is 4X? In terms of standard of living, aka purchasing power parity, I have a LOWER standard of living than if I moved out. That means I can buy LESS stuff than the people you claim are not rich.
So in summary, according to your extremely flawed logic, I am rich because I live in an area that is expensive but pays more money. You think I should just move out of my expensive area, but you conveniently forget that the salary would be gone along with it.