It was probably a decade ago and I recall using something within Google that would tell you about who they thought you were. It profiled me as a middle eastern middle aged man or something like that which was… way off.
I think you're on about the ad preferences settings or whatever? I usually wipe those.
If I were extremely cynical, I would suspect they might have intentionally falsified that response to make it seem like they were more naive than they actually were.