No, I wouldn't, and I'll tell you why: women are never okay with this setup. They may say they are, but they aren't. They may claim that they will be, but they won't. Women always end up feeling used and resentful when they're the primarily breadwinners. I had several women admit to me privately that they would feel embarrassed to be the primary breadwinner, because it would make them feel like they were married to weak and feckless men.
I'd have no problem with a girl being a provider; however, if it appeared to be a huge deal to her, like an obssevie need, than that might imply some problems she has with control. I say let it flow naturaly if you have money invite him to dinner and if he has money he should do the same. Also if he has a problem with you paying that might reveal a psychological need of his to be a "man"