That's an opinion, not an objective reality.

It's more true in relation to other women, but not in relation to men.

Men will still make more money than you, especially in certain professions, regardless of what race they are.

Men will still serve less time for assaulting you, regardless of their race than you would if you assaulted them.

You can be murdered or raped by any man of color just as easily as you can a white man.

Men still get supported in certain fields like STEM more than women's regardless of race.

A man can apprentice into almost any trade without any experience, education, or tools far easier than a woman can, again regardless of race.

Does white privilege exist? Yes. But hands down it's dynamic for white women plays out between women far more than against men.

The most significant impact women have against men of color is in getting them locked up without due cause. But to be completely fair, a fair amount of the time the women are pressured into making accusations by the police, like the arrest that led to the Tulsa massacre. The police surrounded and grilled her and then lied that that he would be let go to get her to make an accusation. Other times, the woman is lying from the start for various reasons.

Everything else is not that cut and dried, it depends. It's not as clear as you say.