A Browser with 65% share of the worlds web access can be leveraged to do a lot of things.
People keep saying this, but everybody I have spoken to dont care about that. They are just used to pressing the coloured circle icon to get on the internet. That muscle memory and brand recognition will be around for many years to come.
The only difference between Chrome without Google and Chromium is the name and logo. You lose all integration with Google services like sync, suggestions, etc.
You'd be stuck with only the captives that can't switch because they're using older appliances with Chrome baked in.
The market share will drop, but slowly and over decades. That will give some greedy company plenty of time to milk it for all its worth.