Maybe I'm overly paranoid, but I assume Google does all sorts of fingerprinting (documented and not) via GA. Why else would it be free if it didn't provide a big upside for Google?
Why do they need fingerprinting? They can just give you an identifier and combine it with your login on the Google sites to connect it to your identity.
Isn't it like this that all data is gathered anyway, but site owner can access the more advanced tracers with paid subscriptions?
I don't intent to provoke FUD, I seriously don't know. This would sound like rational choice for Google since they need this data to run their business.