If out of 720 MEPs, 568 are supporting Chat Control, then yes, I think it's very fair to say "The EU wants...".
Also, they are not distinguishing between supporting mandatory monitoring and other forms (e.g. present legal situation where monitoring is allowed).
The current proposals do not include mandatory monitoring. If mandatory chatcontrol had the wide support that site suggests, it would have been introduced and passed long ago.
Maybe the EU people don't want it, but at least some governing body of the EU clearly does.
There's a comment not too far up in this thread saying this is more of a US thing than an EU thing, but it looks like exactly the same pattern from where I'm sitting in the US.