Chat control is more of a threat for the less tech literate masses. It will have to be implemented client and / or server side. If you use foss software it's basically impossible to enforce chat control, because some dude in his basement can always fork any project that may get targeted by it. If you're privacy conscious and using linux, degoogled android and decentralized messengers you're already out of reach of chat control.
Which doesn't mean that it isn't a threat and we shouldn't fight it.