Governments often try that kind of nonsense. Usually against organized crime, terrorism, child abuse.
But in the end it’s just used for the heavy crimes like copyright infringement
Still they try because there is always an exception that allows breaking those laws.
Chat control isn’t something the EU invented, they tried to implement CSAM in Apple devices and the whole chat control thing in the EU was heavily lobbied by Thorn https://en.wikipedia.org/wiki/Thorn_(organization)