This is about ensuring that it’s even more difficult for women to attain economic freedom and control over their lives.
If this is true, which I believe it is, it is also done with the full and conscious participation of many women. It can't be ignored that women constitute over half of the voting populace, so positing abortion rights denial as a "male" issue is a distraction from our current reality.
If you are saying that society wants to see women remain barefoot and pregnant in their kitchens and bedrooms you simply can't effectively project that onto men exclusively. There is a reason why voting booths have curtains around them, and any woman is free to vote their conscience once that curtain is closed. To my knowledge, the many efforts to restrict various groups from voting has not yet included women.