"Chat Control" is already real. This is just codifying prevalent practice done by a multitude of agencies into law.
Sorry, is there any evidence that E2EE eg in WhatsApp, Signal, etc. is routinely broken? I am not talking about exceptional hacking of phones of individual high-value targets for surveillance by nation-state-level actors, but mass surveillance.
If there was public evidence allowed to be released nobody would be using those algorithms obviously. The point of those algorithms is to make them hard to break for the public and easy to break for the agencies . E.g. None of your mentioned products use quantum hard encryption. It is not far fetched to assume that all the relevant agencies have access to a working quantum computer. But I doubt you need even sophisticated hardware. Most "government approved" encryption algorithms should be considered compromised from the get-go.