It's...complicated: https://www.dataprotectionreport.com/2018/12/edpb-clarifies-...

"The Guidelines note that the processing of personal data of EU citizens that takes place outside the EU will not trigger the GDPR so long as the processing is not a specific offer directed at individuals in the EU or to monitor their behavior in the EU."

So it may be safe for google...but given it would apply to a user profile in general, including EU, maybe not?