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[edited by: goodroi at 4:15 pm (utc) on Aug 9, 2013]
Why would Google waste time with Google Analytics which is limited to a domain when it can look at data from Chrome users who visits hundreds of domains? Chrome has roughly 40% market share of all internet users (depending on which report you look at).
Handicapping yourself by not using a quality free analytics tool that can help you to make smart improvements to your site is not wise IMHO.
"Google Analytics does not have 100% adoption across the web."
for some articles where GA was saying I had an 80% bounce rate, it turns out that approximately 65% of the people were reading to the bottom of the main content, and another 10% were reading to the very bottom of the page (past the comments section).
Google would want to use information that would be relatively uniform over its entire index. Clearly, not everyone has Google Analytics installed, nor are the installations uniform, so that in itself would make it a bad choice to use.
I doubt that they use it even for manual audits, but I'm sure they're in some way looking for big data correlations on the installed base that might help them confirm patterns they're seeing in other ways.
Perhaps they check aggregate correlations on types of sites to suggest ways of improving both Analytics and the algo. Too "noisy", though, and too invasive, as a ranking metric.
Bottom line there are many ways for Google to gain access to real usage data.Former Google CEO Eric Schmidt once referred to Google's drive of acquiring data as "pushing the creepy line". Assume that Google gathers data from every source available and that they cross reference it in ways you haven't thought about. It's what they do.