I think it's very telling that folk think that writing "I'm saying this from a position of privilege" invariably is done with a proverbial gun to their head, hoping to evade a public flogging if they fail to do so.
People, myself included, genuinely see disclosing your position of privilege in the same way someone from Company X might say "Disclosure: I work at Company X" when commenting on a post about Company X. Now, it might seem that acknowledging ones privilege is shoe-horned into every conversation, but I challenge you to think about how privilege touches so much of our lives.
Anyways, all I'm saying is you don't have to "find value" in folks acknowledging privilege. You just need to be able to imagine a world in which they do.