Sure, but then the problem isn't the information they collect but the fact that it goes to Google. Short from them setting up their own analytics service though

Sure, but then the problem isn't the information they collect but the fact that it goes to Google. Short from them setting up their own analytics service though, to whichever one you send this data it'll be traceable up to some extent. Google just might have a larger trove of data about you, but that's also through your own doing.