You won't be giving them any info on you, but you won't be confounding them either.
Run facial recognition against computer generated face, got no matches. Surely that is the expected and intended result from both parties?
Or is it expected to match against a different face?
By returning no accounts, it demonstrates their AI isn't using those faces for identification.
Managing your privacy is a lot like CPU side channel attacks. It forces you to re-evaluate your fundamental assumptions about what information can be exploited.