The only person I trust not to get me pregnant is me. Funnily enough, I've had a lot of sex with a lot of dudes, a lot more of them didn't want to use a condom (without checking if I was on BC or not) than were worried I would trap them into a pregnancy enough to wrap it up without any initiative on my end. That includes the dudes who already had kids. A man telling me he's on birth control wouldn't make me stop taking mine. (Plus, to be honest, there are additional benefits for me of being a woman on birth control, like the ability to regulate my period, which is a huge boon for me.) It may help men feel more secure about sex but like I said, I've never met a man in meatspace who actually seemed worried enough about accidental pregnancy that I'd honestly trust him to be on top of his BC regimen. So I doubt it would change my in-person interactions much. I have had more men give me STD scares in an attempt to communicate with me again than I have had pregnancy scares.