If that were true, we would never have sentences like Brock Turner's where the judge was more worried about the "ruined life" of the rapist, than the ruined life of the victim.
https://www.newyorker.com/news/our-columnists/revisiting-the-brock-turner-case
Or the Plicot case, where over 50 men didn't sympathise with her and denounce to the police, but joined in raping her.
To what exactly is applied that "simpathising"? To a flat tire? Opening doors? Suredly not to equal wages, since that is still a problem. Neither equal rights, since our body integrity is still in discusion. Hell, there are men saying that women shouldn't vote. Somehow, there are no women saying that men shouldn't vote or enjoy body integrity.