Nice theory, but the European left wing parties (The Left, and Greens) are against chat control, while the right wing parties are in favour.

In the UK, the Conservatives and the "New Labour" aka centre-right Starmer aka Tory Lite are responsible for massive backsliding of civil liberties, while those "far left" types like Corbyn are opposed to it.

So reality, at least in those two examples, seems to contradict your theory.