One more reason to go with Firefox.
"The security model of Firefox Sync ensures that your sync data is encrypted before it ever leaves your machine, and that the password to unlock this encryption is never transmitted to the server. Not even Mozilla can access your sync data, so while we transmit it all over TLS for additional security, we do not depend on the confidentiality of TLS to keep your data safe."
https://medium.com/mozilla-tech/how-firefox-sync-keeps-your-...
"When you sync Chrome with your Google Account, we use your browsing data to improve and personalize your experience within Chrome. You can also personalize your experience on other Google products, by allowing your Chrome history to be included in your Google Web & App Activity."
I do have a Firefox account which syncs up my passwords, history, etc. so in a sense I'm still logged into the browser.
I do trust Mozilla more than I do Google with my personal data, though.