You don't have the liberty to avoid that, today. By design.
My point being that if one could prove that the ChatControl detection is only running locally and that it is only reporting what's acceptable to report, then it wouldn't hurt your freedom (except for your freedom to do illegal stuff, but that's the whole point).
The problem is that it is not possible to prove this. Fundamentally. We need to talk about that. Not throw some "it will kill democracy because you should trust me when I say it".