Paying for someone else on a date doesn't make you feel dysphoric. You're just trying to justify being a glutton without having to pay for it.
Also, it's not about "guys" being the chivalrous ones. It's about the person on the date who has better means to pay for the outing. No woman who is serious about the date is going to inisist a guy pay what she knows he can't afford, but, at the same time, most guys will insist on paying because it's a way of showing her that he is willing to invest in a meaningful relationship. Furthermore, it's not about how much is spent, it's about the willingness to spend it: plenty of women don't want to feel like they're beholden to the man by having him buy their time, but, at the same time, they want to know the guy is more serious than just being friends. People who ask to "go dutch" on a date are only looking to be friends.