Let me rephrase: Contraception and abortion rights are primarily about the birthing people's bodily, mental and all kind of autonomy.
Of course, sex and reproduction are the functions of both body and mind. But what's your point?
So, as I rephrased, contraception and abortion are primarily about women, because women are the ones affected directly. But these are also about men, too. Men also do have stakes in sex and reproduction.
Decisions of non-reproductive and reproductive sex are not taken together by women and men both, most of the time. There's too may non-consensual "sex"/rape. And to stress and clarify, although in non-reproductive sex, both men and women should consent, in abortion, the undebated voice should be only the voice of the birthing person, because it's their body, their mind, so it should be only their choice. No man (yes, not even the person whose sperm assimilated with her ovum and formed the embryo), religion, government, political leader, businessman or any other person should have a say there.
You are right about sharing the benefit of contraception and abortion with men, but men already share the benefit if women have the benefit. That sentence you wrote is not that clear to me.
There's another funny thing you wrote inside the bracket. It's untrue. Gay and lesbian people also need contraception. To avoid STD at least.