If you've seen the kind of behavior that people like Henry Cavill and younger Brad Pitt deal/dealt with, you wouldn't need to be told twice that men face objectification (and that their objectification is arguably worse in the way it's rarely challenged by the mainstream). The only difference is that most women are incredibly picky and tend to completely disregard most men. So many men barely know what it feels like to be desired and the mental health impacts of that can be shattering (but mainstream society won't have any compassion for that because we live in a gendered compassion apartheid).

I also know from personal experience that women partake in behavior that, if men were to do it, would be branded as disgusting objectification. Men are shamed for being attracted to women (and expressing that fact) all the time, while women can pretty much do or say anything to a man without it widely being considered sexual harassment.