There's a parade of apologists who will quickly pop up to say that a private company platform should not be held to any free speech standard since they're not a government, never mind how much power they wield in practice.
What about when it is the government taking down a domain for hosting illegal or copyrighted content? What happens when you give the government enough power to take down a domain for political dissent? The problem you mention isn't with Google, it is with how TLDs and domain registrars work in the first place.