A company known for tracking the ever-loving shit out of everyone across the Internet distributes a best-in-class web browser absolutely for free. If that's not enough, I really hope you're able to hold on to that innocence as you start using the Internet more and more in the future.
Prove to me that Google is tracking me through Chrome. Link me to an article with proof of collection.
Most of us our developers here, surely we can apply some more rigor to this conversation then “we know Google is doing this because it’s Google”.
It's not unique to Chrome. There are additional sync options that are available to Chrome, but those are all opt in.
you'll see your browsing history, which unless you have a preference turned off deep within settings, Google may then use to target advertising.
This isn't difficult to test: sandbox default chrome in a VM and see what happens.
But they don't need to because of your point. uMatrix makes it plenty clear all your bits are belong to Google.