It’s basically saying men’s issues are only a problem for Feminism when it can be framed as also impacting women.

Well yes. Feminism is focused on the specific forms of inequality that women and folk perceived as women face.

However, the root cause of that inequality often creates issues for everyone, not just women. So feminism isn't "at odds" with mens rights, but rather, addressing the issues that women face will improve issues for men too, because of those shared root causes.