I think this paying for dates thing is very simple. He asks me - he pays. I do not do the faux offer, I do not order the most expensive things. I say thank you.
It's funny isn't it, because I think it's rude to say "he asks, he pays", especially in an old situation.
Women often wait for men to ask, expect them to do the asking, so saying "he asks, he pays" is like saying "I'll just wait around until someone is prepared to spend money on me".
I hate, really really hate, anyone paying for things for me. But especially men, especially on dates.
I don't do any "faux offer". I WANT to pay for myself. But if men make a fuss (which they often do, because they're sexist, they wouldn't do it with their mates) then I'm not gettimv into a row in public, so I back down - but it's a blackmark against at them because I don't like being told what to do (i.e. accept them paying). And I don't like men who see women as somehow "lesser" and in need of their benevolence.