That is precisely their intention.
And - we will see about that ....
An EU product (!) directive forbidding that private citizens of sovereign countries exercise their constitutionally protected freedom of expression. In their own countries. Hm. Yes, we will see about that.
The "Bundesverfassungsgericht" in my country (High Court dealing with lawsuits with reference to constitutional rights) would be asked to judge this matter. This would not be the first time where they have stopped politicos from overstepping their bounds. And yes, citizens can file such suits when their constitutional rights are infringed upon.
This is not the (former) Eastern Bloc. And this is not the (former) Third Reich.