I hope not, because then we get no choices regarding privacy and the most likely dominant player right now cares very much to not give you any privacy.
I've installed a recent version of Chrome, but likely your point is some of why I've never let that program even execute.
Firefox seems to do well on privacy. Maybe that's why I use it and some of why it gets funded!! And for privacy I do use the proxy Firefox offers.
Some people want privacy. If they begin to sense that Chrome is a real threat to privacy, people will look for alternatives. Then some people, maybe with venture funding will get one of the recent copies of the Chrome source code, modify it, and offer a browser with good privacy, maybe charge $50 for it. Okay, problem solved?
Then hopefully privacy will be as accepted as 120 volt, 60 Hz AC home electrical power. All the homes want that power because all the appliences use it because all the homes use it.
Google makes their money from people arriving for the Google search service, maps, etc. From Web crawling, or whatever is done now, for their search service, Google is also a HUGE user of the Internet. Then it is very much in Google's interest to have the many millions of Web sites, HTTP, HTTPS, TLS (Transport Layer Security), DNS (Domain Name System), HTML, JavaScript, etc. all very standard: Google has to be able to read those millions of Web sites so wants them all to be standard, i.e., without a Tower of Bable problem.
Or all the Web sites (and programmers) follow the standards because all the Web browsers do (and several billion Web users use those browsers); and all the Web browsers do because many millions of Web sites do.
Maybe some of what Google might do but does not is due to some people noticing that situation and being sure to help Firefox.
By this you mean "not even as much as a blip"??
Firefox is my "default browser", and I like it.
I have copies of Chrome, Edge, Brave, and Tor but so far have never used Chrome.
If in some sense Chrome hurts my use of the Internet, then, sure, I'll hope that Firefox solves the problem. Since the Chrome source code is available, other people can revise the Chrome code to alleviate the "hurt".
By the way, occasionally I use Bing -- last time I used it it did much better than Google.
Uh, there are billions of Internet users and, from a simple Google search, ~1.1 billion Web sites. Soooo, 1.1 billion talkers and billions of listeners -- could be a "Tower of Babel" except for standards. An open-source Web browser to help create some standards, okay by me.
Actually, the IETF (Internet Engineering Task Force) may still be playing a big role keeping down any "Tower of Babel"?
Maybe HTML, HTTP, HTTPS, TLS (Transport Layer Security), JPG, JavaScript, etc. will soon plateau, i.e., quit changing quickly.
E.g., in the US, consumer electrical power is nearly all just ~120 volt, 60 Hertz AC, at maybe 16 amperes, with standard plugs and sockets. So, there is nearly no Tower of Babel problem! While that electric power is really important, in practice we can just f'get about it, regard it as a standard tool, and move on to what we can DO with it. A Web browser is on the way to being similar, just a standard tool?