So increase your "privacy" at the risk of your security? Personally, I trust a fully-patched chrome more than a browser that lags behind the latest security updates by 6 weeks.
(Iridium is currently branched off chromium 54, chrome is on version 55)
Maybe for some people Google owning their data is worse than the odds that they will be targeted by the latest exploits.
Given current ransomware trends, that seems like setting up a bunker but crossing a highway on foot daily. Sure, the nukes won't get you, but those cars will.
It's not that you're not allowed to worry about google holding your data (of course it is!), but it's pretty unsafe to be on the 'net without being properly patched.
If I had to set about this, I would have an upstream fork of Chromium that would patch the various networking functions to blacklist known google domains, and then offer a flag to ignore the blacklist in the "obvious" spots (like when you go to google.com). Probably not perfect, but a bit safer.
If you're super serious, you could just 404 all access to google.