it still makes no sense to argue for a blanket "privilege check" on certain groups since you are presupposing a background and characteristics of an individual based on traits that are not linked to those characteristics. That's the opposite of what the original argument was asking for in the first place.
You're missing my point, but I'll go ahead and address this different issue.

When SJWs are talking about privilege, they virtually never refer to individual privilege. Their notion of privilege is actually a group-based construct. So what any particular individual thinks makes no difference.

If whites are in power, and whites are the majority, and whites prefer other whites (in a broad sense) to non-whites, then there you have it: privilege. Now, as Subo liked to point out, privilege is contextual and fluctuates quite a lot

-

but that doesn't change the fact that, as an aggregate, whites have more privilege than anyone.

When you see it in those terms, this should go from objectionable and tendentious to really really obvious.