My question is a bit more precise: If such an election took place, would you yield to the global result, whichever results the local vote in your own country had been.

If yes, then welcome to a truly pan european federal state (and election).

If not, you're simply transferring the usual government veto mode to a more popular basis, without modifying the way Europe is considered (and decided upon).

I don't know where your party is located, but I feel that in France, a lot of left wing parties are positioned on the second one, which is no different than the classical euroskeptic defense of unanimity.