I'm a white man. I can absolutely generalize about a well known aspect of reality. It isn't in question that white men are currently in a position of overall privilege, and that as a group that position of privilege has the effect stated.

I pretty much also said that this is true in the western world where white men are the supposed majority. I said that the same would be the case with any dominant group because humans are just like that.

A generalization can not only be true in general, but it doesn't inherently mean that the entire group is at fault (beyond any unintentional benefits from the situation, which is what's called privilege in current discourse on matters of gender and race in specific, but applies to more than those alone).

Here's the thing. Until and unless we, not just as white men (speaking of the group I'm in) work on calling out and correcting bad behaviors as a group, to the point that it ceases to be a problem for others, we are part of the problem, no matter how little any individual likes that.

Divisions currently exist. They will always exist because any time there is a place of authority/power, there will be those that seek it and use it. Over time, you might see a given demographic shift in and out of that place of power, but it won't change humans being humans; there will be abuse of power.

That's the real key. The fact that white men have held dominance over most of the world for centuries (for a given value of most, and a given value of white) is simply fact. One could argue that the position of dominance really covers all the world since anyone wanting to disrupt that has to contend against that hierarchy. There are definitely places where, within a region* white men aren't the dominant group, kinda impossible to be otherwise. But trying to pretend that the world isn't the way it is is just silly.