You need their address to have a reliable way to take them to court.

Yes, this sounds like the root cause. Maybe we should have a way to take someone to court that doesn't rely on knowing their address (and ideally is more stable over time than an address, and less ambiguous if there are multiple people with the same name at the same address).

Hard to know if you are joking or serious.

https://en.m.wikipedia.org/wiki/Registered_agent

Yep, there are services whose whole job is "accept mail when someone is suing you" so that you can hide your address.

You can ask the government

I can imagine nothing wrong with having the government gatekeep access to the ability to sue corporations.

They.. already do? Who do you think “the judiciary” is?

The referee, not the ticket counter.