Not on your life. Domains simply aren't complicated or expensive enough to think twice about feeding Google's consolidation and analytics game. Perhaps harsh, but come on. Domains.
They have had registrar-level access for quite some time already, presumably using that to "connect the dots" of domain ownership. So this just takes it to the next level... now they can see 'inside' private domain registrations? What else could they do with this that they can't already do? Hmm.