As a member of the privileged group,
The problem is that this bit always requires an admission of guilt, culpability. As if being born white in an historically and predominantly white country is a sin in and of itself. Talk to a man like my DH, dragged up by a single mother who used him as an emotional punchbag, in a very poor household. Tell him that because his reaction to this was to step outside the bounds of his family, his social group and to do something different that means he is privileged by mere dint of being white. You will be met with an aggressive tirade of abuse, plain talking and probably a boot up your arse.
Instead of blaming individuals, laying that moral obligation on an individual because they are, or are not something that has been identified as 'bad' we need to tell the sellers of that trite bollocks to come back when they have a suggestion that does not involve replacing one set of hate beliefs with another.
This white, older, woman as the most privileged shite is, like a lot of divisive politics, not for the benefit of anyone who is being harmed by racism, ageism, sexism etc.
And yes. I am fully aware that this will be held up as another of those "MN is so racist and getting worse" posts. Presumably by people who believe that, as a white older woman, I am the very devil!