Alright, I can see you're trying to make a serious argument, so I'll treat it as one.
First point, I think you're biasing peoples answered by including the point that it's "a new man" who "pulled out a female condom instead". That instantly provokes a negative reaction for a couple reasons.
Obviously in a serious, longer term relationship, people should talk about what they want, negotiate, and in principle try to remain fair to each other. Like paying equally for contraception, considering different contraception.
In that instance I would largely agree that a couple should discuss it until they find a solution they're both happy with.
But the hypothetical picture you painted is of a brand new relationship, and of the guy just springing the female condom on the girl in the moment. Apart from being really presumptuous, and giving off an attitude of "See, I'm prepaired.... for what I want anyhow", the very fact that it is still a far more unstable and uncertain relationship in itself changes things. Not knowing the guy as well, the girl is taking the largest risk that if she gets pregnant, who knows what will happen, even if she has an abortion, it's still her body that has to go through it all. It's not the same for the guy, the guy literally need not do anything at all. That's why I think at the beginning of a relationship, when the relationship is at its least stable, it's up to the girl to set the rules of protection. She's taking the greater risk.
And if we're being realistic here... the truth is either partner can set unreasonable expectations and simply refuse to have sex if they don't like it... both have veto rights.
All of this is a lot to discuss about the FIRST time you have sex with someone, I'd be lying if I said this much serious thought has gone through my head anytime I had sex with someone new.
When you get right down to it though... it's the woman who risks getting pregnant, who gives birth, or has an abortion, all of which are serious things to go through. And all the guy ultimately truly risks is child support, which again being realistic, a lot don't really pay properly anyway. I'm not saying that's not a risk, but it's not nearly the same as what the girl faces. So I see nothing wrong in insisting the guy wear a condom. Later in the relationship you can talk about something else, but in the beginning, use a condom. Also being realistic, female condoms have a poor effectiveness compared with condoms or the pill.
So there, that's my serious answer as to why you should suck it up and carry rubbers, and ultimately, what's fair or not, me being right or not, really doesn't matter much at all. Like I said, either partner has veto rights, so when you get right down to it, either partner has an equal opportunity to be unreasonable. Seems fair enough to me.