I think that it’s very straightforward that the movement fighting against patriarchy benefits everyone suffering under it and empowers all of its victims. I will elaborate more in a second but first, here is the fundamental definition of feminism:

Feminism is a range of socio-political movements and ideologies that aim to define and establish the political, economic, personal, and social equality of the sexes.

Gender equality, also known as sexual equality or equality of the sexes, is the state of equal ease of access to resources and opportunities regardless of gender, including economic participation and decision-making; and the state of valuing different behaviors, aspirations and needs equally, regardless of gender.

I understand your concerns about the word, and it was about women when it started, obviously, as women have needed and still need to fight for basic legal rights and autonomy, but since its inception the movement has evolved and widened a lot. It is also crazy how arguments like yours disregard all the battles that feminists fought - ones that are the reason why we all have a better society, healthier relationships and kinder childhoods. All these changes have benefited men no less than women. Men have been substantially liberated from many harsh and crushing burdens of more extreme patriarchy, such as the stress from unequal financial burden or the responsibilities and expectations disrupting bonding with children, trauma of watching mothers receive unequal treatment or live through abuse or themselves being victims, etc. Not supporting the movement that keeps fighting for that change that benefits everyone, just because women are being abused by patriarchy more, and are therefore more represented in the movement more, is shocking to me. Disregarding and diminishing all the efforts and benefits by nitpicking over the origin of the word just seems ungrateful and unfair.