I do see women’s femininity (or lack of masculinity, actually!), loyalty, especially abilities, work ethic and/or integrity attacked all the time. I don’t really understand why you are under the impression that doesn’t happen to women. The objectification and threats of (sexual) violence happen in addition to that.
Again, you seem to argue that there is some kind of balance in harassment and both men and women receive the same amount. That is not true at all.
All things being equal (content, credentials of speaker, etc), a woman speaking tends to get more attention than a male. People are naturally more attracted to the feminine than the masculine.
Exuding feminine energy draws people in. This expression may or may not be conscious. It's at least partially conscious though. It often works to that person's advantage to look good.
People are going to react to this feminine energy who also has something to say. I understand that it's not fair to emphasize the feminine, however we are driven more by emotions than by rational thought (even "rational" thought tends to be driven by emotion).
Another angle is harassment toward men does happen and is simply not talked about, laughed off, and downplayed. It's not useful to keep score and categorize who harassment happens to. If you are a victim of harassment, does it matter that you fall within a majority or minority of the demographics?
Again, you seem to argue that there is some kind of balance in harassment and both men and women receive the same amount. That is not true at all.