If Google doesn't like you, it can remove your domain.
Also, many people (apparently not you) are uncomfortable giving money to Google.
Google also ends up with some limited information about who is accessing your website.
Registrars, even when they "own" the TLD can't unilaterally remove you.
I'm not very scared; there are no precedents for similar cases except for security problems or the dissolution of a country.
Update: I see you've edited the comment. Regarding paying Google, I have no problem paying for their services. I don't know what the issue is. By the way, the domain is managed by Squarespace.