I don't think it's possible for Google to link Aurora use to your account - especially if you don't log in to play services. Aurora uses anonymous accounts.
Unfortunately, the Aurora accounts are rate limited. That's a pain because Google has the shitty policy of geo-locking its apps for no good reason. Honestly, Google should be torn apart into a hundred tiny companies for its antitrust practices.
Human greed is the worst thing this planet has ever produced.