Let's see if I can end the 'they're lying to us conspiracy theory arguments' or at least refute them wholly to those who can 'get' what I'm saying...
If you run a search engine the size of Google, with the goals of 'determining the one right answer' for people and 'organizing the world's information', you Would Not use Chrome and Analytics data directly in the algo's you wrote.
Why? Because the web is representative of 'the whole', not Chrome (even though it's widely used) and not Analytics (even though it's widely used), so what would happen if you used that data directly is you would not have large enough data samples from Every Site to actually rank Every Site and organize Every Site.
The way you could and likely would use the data is to compare the sites, time on them, visitor habits, etc. to the algo's you wrote and applied to the web as a whole, because if your goals were really to provide people with 'one right answer' and 'organize the world's information' for them, everything you do algorithmically has to apply to the Whole of the web, not the (even though widely used) limited data sets available via Chrome and Analytics.
IOW: You would use them to 'check your work' against reality and see if you're 'hitting the right sites' when people block them, or 'promoting the right sites' according to the ones people visit the most frequently, but you would Not base your rankings directly on their data, because even though there's a ton of it, neither 'scale' to Every Page on Every Site and Every Visitor, but your algorithms have to.