AFAIK, more or less the same as with phones or paper mail: No third party is allowed to listen in, except police and other duly authorized parties, after they have a warrant.

The difference is listening to a phone is easy for the police, while breaking encryption is impossible.

I'd assume the result is intended to be identical to phone safety: abuse will be technically possible but legally criminalized and in practice rare.

Now how this works out in the face of the international internet is a whole other can of worms, of course.