They keep trying it via e.g. chat control

The US has also tried it multiple times. So has Canada. It's been shut down each time. This isn't a unique to the EU problem.

Didn't UK had "The Snooper's Charter" as well?

Encryption backdoors is not a case of extending reach for a government, but an effort to get the capabilities back.

They were able to do that before. They just want to be able to continue now.

Note: No, I don't support the idea of backdoors. On the contrary.

The fact that other countries have tried to do <bad thing> does not mean it's acceptable for another country to do <bad thing>

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