And yes, you probably should, if only to pre-register your ownership thereof if google ever decides to nuke you from orbit

But if Google decides to nuke me from orbit, and my domain is registered there, the nuke can cross between my domain and my Google account.

Well, yeah, that's digital monopolies for you. I guess one can always create a dedicated google account to register each site with

	▲	cube00 7 hours ago \| parent \| next [-]
		It doesn't work, there was a Google employee here mentioning they assign a degree of separation to each account, any accounts that are deemed "close", are included when the ban hammer falls.
	▲	Serenacula 10 hours ago \| parent \| prev [-]
		Google ties your accounts together on the backend though if they realise they're related, so this isn't as easy as it sounds.