Emphasis on the wrong word. It might not control
your communication if you're an iPhone user and you don't have a google account for anything, but it absolutely and objectively _controls_ communication.
For unfathomably large swathes of the planet's population even.
It does this by owning not just the devices they communicate with, but also the operating system on those devices, the applications used through those operating systems, and the infrastructure that those applications make use of. And while it's tempting to say they control the communication, but not the content of the communication, even that's not true: google even controls the content through services like automatic replies for email, call-screening assistant, etc.
And if you ever interact with those, because the other party uses them, then "Google doesn't control my communication" is hilariously misguided. Google controls your communication if that communication is with anyone in the Google ecosystem.