Ask HN: Hesitant to use Google for signup, am I being paranoid?

I recently wanted to sign up for a proxy service (luminati), and they offer an easy one-click signup with a Google account. But I found myself suddenly worrying about something that never even occurred to me before - Google banning my account. There has been quite a few horror stories about accounts being banned for seemingly trivial reasons, and without any recourse. And proxy services has a bad reputation I think. It feels crazy to me that I even have to think about this, maybe I'm being overly paranoid?