If EU institutions are used to push this sort of thing, we must treat that as what they are for. Systems do not get a pass because someone external is 'using them', but must be treated holistically.
You know what the Council consists of? The heads of national governments.
You know who they're having to force it through against? The EU parliament, an actual EU-level institution.
The more accurate read would thus be "national governments are trying to force this against the will of the EU".
The fact that you come away with the exact opposite read is a good demonstration of said propaganda's effectiveness.
It is quite disturbing that more and more ofent critique of policy or a political system like the EU is framed as some convinient boogey man's propaganda.
That some actors may ride it, is not their stain, but the eu's.
And, about «precisely the misinformation I mentioned earlier»: you think this infomess was caused by foreign agents, instead of internal european lack of clarity?