Painting the above poster with an anti-feminist brush is uncharitable.
Disposable male theory isn't incompatible with a feminist perspective. I realize it's a mens rights talking point, but even a broken clock is right twice a day.
My take: Patriarchy reinforces male supremacy which puts men in positions of power, and prioritizes the needs of men at a societal level; but men without power (as well as non-white, non-straight, non-"traditionally masculine" men) are also victims of patriarchy, and face challenges specific to men.
I'd point you to the /r/menslib subreddit which was a great, anti-men's rights, intersectional, and feminist-allied discussion forum for men's issues, but they've unfortunately gone dark. For a brief introduction, there's https://en.wikipedia.org/wiki/Men%27s_liberation_movement at least
edit: Here's a fascinating video essay deconstructing the toxic masculinity of Andrew Tate, and how patriarchy affects men: https://www.youtube.com/watch?v=y6_TOFy3k6k I found it on /r/breadtube, but it's definitely the type of fare common on /r/menslib