In and of itself? It shouldn't. Ideally it wouldn't matter, and everyone's problems would be treated with an equal sense of urgency and credence.
Unfortunately, it does matter because it can create something of a buffer in more inflexible feminist's minds that prevents them from empathizing with men's problems in a meaningful way.
When that happens it can lead in a number of directions.
It can frame men's problems as part of the patriarchy. This framing is a lot of times used to reduce whatever problems are affecting men to a byproduct of problems facing women. Just as feminist don't like it when focus is derailed from something that affects women to become all about men, men don't like it when focus on a men's issue is diverted to be about women. This can become the case when men's issues are discussed within a "patriarchy" narrative.
It also keeps power structures (which are usually meaningless to individuals) in proverbial play. With the power structures still in play, feminists can acknowledge men's issues, and may even empathize, but experience no social obligation to do anything about them.
A feminist may very well acknowledge that society sees men as less capable of being caretakers, or that men can be victims of domestic violence. They may even agree that those are injustices that need to be addressed. However, they may still feel no more compelled than anyone else to step in when they see a man being assaulted by a woman in public.
They also could even contribute to the problem by further perpetuating mentalities that make such injustices possible. They might do this by casually saying things like men are "scum", or "pigs" ETC. ("scum" and "pigs" don't make good caretakers). This, as well as turning a blind eye to the assault can be justified in certain people's minds because, (thanks to the power structure entering into the equation) the insults are considered benign because they are "punching up". Ignoring the aforementioned act of violence is acceptable because the male is "privileged" and has a perceived (though clearly non-existent) position of power in the relationship.
I am not, by any stretch of the imagination saying that this is something that all, most, or really any but the most obstinate, and hypocritical of feminists do. Nor am I saying this is something which happens all the time or anything like that. I'm just pointing out some of the issues that may arise from framing men's problems in such a way.