You don’t have to enact laws like Chat Control (literally Speech Control, they’re not even pretending to try to hide it) to have tyrannical government.
To have tyrannical government we only have to have governments who want to propose such legislation.
Any reasonable sort of government would be highlighting the absurdity of such ideas and speak out against them.
“Chat Control” is a pejorative name used by the law’s opponents. Its official name is the Regulation to Prevent and Combat Child Sexual Abuse.