What makes you think French citizens don’t care?
Unless you literally belive everyone in the EU belive the exact same thing and there's zero disagreements what do ever.
What, did you think right and left were arbitrary? The words are arbitrary, but the meanings are not. They correlate quite strongly with the material interests of the up and down.
How individual country influence the EU is there is an invisible battle on putting their people anywhere under the commissioners. There are a lot of career people you will never hear about yielding immense power there and from what I know they do not have a political affiliation how we understand it (left, right, etc.)
If you are a corporation or foreign actor and you need something from the EU you cannot care less about the people elected in the fake parliament. If your chance of influencing or blocking something is in the parliament, you already lost.
Most people have a hard time wrapping their head around this because we actually have a better understanding how the US political system works, individual EU countries or even the CCP.
Governments should probably adopt some sort of "retry" limit for these things. Good luck getting that passed though I suppose.
Imagine if women's suffrage failed 5 times, and hey, guess we'll never get it, 5 times is the limit.
...because they haven't protested the proposed law? If they have, do you have a link? I've not seen any coverage in mainstream or independent media.
Few are, that is a huge part of it. Most have far more pressing concerns.