Unfortunately, no, they don't. As Chromium gets more and more wide spread, Google is gaining the power to change the browser standards. Websites will have to comply. If your website suddenly "Breaks" because Google won't allow Chromium load any pages without tracking tags, users will complain to you and not google.
Yeah tech illiteracy is a thing thats true. Once they realize that its their browser that breaks their shit they will just pick a different one. Thats what i mean with google owning all the websites.
You know what happens if a customer complains your website doesn't work in Chrome? A bug ticket is raised, goes to a developer and they fix the "bug" so it works again.
If the developer is good they'd also make sure their "fix" doesn't break the website for Firefox and Safari. But there are plenty of developers who only test Chrome and call it a day.
Chrome is the default browser nowadays, if it doesn't work in Chrome you have a problem. The developer might blame Google, but the user and management won't care.
unpopular opinion: chromium is a genuinely good thing for everyone involved. Just because chrome gets all the bitches and can dictate stuff doesnt mean chromium will break the competitions will to have their own programmers make their own fork.