It has absolutely nothing to do with Preview. Book View doesn't exist any more. Been dead for several releases.
The only thing this will affect is the notification that there's a new version of Sigil available. That's it. Nothing else. Zero, zip, zilch, nada.
So yes. If you live in a country where google's dns servers are blocked, you may have to occasionally check for a new version of Sigil manually. Funny thing is, the update notification was completely broken for years and we didn't hear a peep about it. Now we've been pinging a google server for years to determine connection status and it's suddenly the end of the world. Can't win for losing, I guess.