I don't think you are lying if you list a doctor you actually have a patient/doctor relationship with. Anyway I think it's pretty rare for an OP to actually contact the doctor you list as your PCP, but you never know.

My actual PCP, as far as my former insurance company was concerned, was a doctor I never even saw. His office issued referrals to the eye doctor and other specialists, but I never even had a physical from the guy.