Authy works as a third-party authentication provider. Their servers are in the loop on every login. They aren't just a TOTP app + synchronization, they actually do the code validation themselves.
The correct analogy would be if every time you went to a website in Firefox, it asked Mozilla's servers if it was OK to go there. Also if, when installing Firefox, it demanded you create an account and give your cell phone number to Mozilla. (Or better yet, Google.)
So your scenario isn’t even that far off.
With regard to the others, there are crucial distinctions:
* Chrome synchronization is entirely optional. You can use Chrome without ever logging into Google's servers. That's not the case with Authy.
* The malware blocklist feature uses data stored on your local machine that is frequently updated from Google's servers. It does not send the URLs to Google. Even aside from privacy implications, that would be annoyingly slow. And the block can be bypassed (last time I saw it, anyway) with a single click.
None of these tools have any form of lock-in, but Apple imposes its own layer, in this case.