I'm an EU citizen. I have minimal saying in who our commissioner is and what members of the cabinet get chosen.
I have a vote which I give to whatever party. After that, the vote for commissioner is secret; I have no idea who voted for what. After that, the negociations for the cabinet are secret; I have no idea what the criteria are and what the plans are.
I'm not putting us in the bucket of non-democracy just yet but I don't feel it's that far.