teleproto
Google Analytcs and ads are so widely that most of your browsing will be tracked regardless of browser, even regardless of your search engine (but the search engine is also quite major since they can track what you were trying to search for before jumping into the web).
But there's also a privacy policy explaining what chrome actually sends: https://www.google.com/intl/en/chrome/browser/privacy/
Sure, Firefox's private browsing does offer tracking protection. But most "normal" users don't seem to use that. And some would argue there's little value in blocking tracking in a session that will be wiped anyway.
Sure, you can find the web client sources. How about the server, and the mobile apps? The website makes a big deal of them being open source after all ( https://protonmail.com/blog/protonmail-open-source/ ).