> The prof I was working with told me that this anonymous reviewer was probably the writer of those papers and asking for citation.

I think this is mostly just a kind of fun way of complaining about reviewers. Having been a reviewer for many computer science conference, I've often had the names of other reviewers visible to me. Most requests for citations are not for the reviewer's own work, and truly irrelevant citation requests seem to be pretty rare.

I do perceive journal/lab-centric fields to be worse about this, though.