I think a good example is sexualization in media.

There is group of women (and their allies) that talks about how it's unfair and a sign of patriarchal oppression how much less men are sexualized in media, how much less the mainstream caters to women's gaze. It is a sign of women's sexuality being shamed, suppressed, denied, while male sexuality is catered to all the time. Women have to retreat to anonymous corners of the internet to share their smutty fanfic with each other in secret. (Smut that is infamously hardcore a lot of the times, and is often about gay men).

Meanwhile there are deeply homophobic/biphobic women on the other hand. But that's just a sidenote. There are also just women who talk much more about how sexualization as a whole is way overpushed. Women who are more uncomfortable with all of this, who don't get why humanity can't be "just normal". They are probably closer to demisexuality on the scale, they say even when there are muscular half-naked men in media that's actually for men (while I literally know women who are into that sort of stuff btw, including one who has bodybuilder mugs). That women need context and aren't gonna just randomly goon like men.

And here is the thing: there is not much clash between these two groups. There probably is some, but not a lot. And especially not in front of men.

Even tho the second group seeing the type of smut popular with women might cringe and think that "this is what happens when patriarchy makes everyone porn-brained, even girls are now fantasizing about being choked, wtf".

And the first group would think "women's sexuality is so deeply suppressed, it's tragic. We too are so horny! Men have no idea (wink wink). These stupid men/patriarchy, they ruined everything." If the fact that plenty of women express rarely ever even feeling attraction to men in actual real life plays into how there is much less of a generally satisfying (and therefore marketable) "sexy men for women" phenomenon in mainstream media, well that's because women are shamed/men are losers. Poor women.

Ultimately, when it comes to wider discussions, the patriarchy, and how men relate to whichever side of the grievance women are on, women somehow some way still become silent allies. They do their best to frame it like there definitely isn't a conflict of interest between different types of women. Or they just see the other side of women as victims. Obviously it's in bad taste to argue with victims, with misguided, tormented souls who the patriarchy messed up. It's horrible. What matters is the REAL issue. Men.

Now to be fair, I think this is kind of human. Even I wonder about my own similar biases now that I have spent close to a decade thinking about male suffering. I know this feeling. This "yea, he is hurt and so he is saying some bullshit, but that's because xy". But it's a type of bias we should keep in mind. Overall, I would never say that men didn't contribute a lot to the messy state of gender relations or that men don't have a lot to figure out/do better. Also, men disagree much more about gender/dating/society related things with each other ime, and that is very visible in this subreddit too.