We know what they are in charge of (for the basic ministries), everyone knows who the president is, a lot who the PM is, and nobody knows the current ministers. But we know their jobs. They also refer to stuff which impacts us on a daiky basis.
The EU as a governing body is a mystery. Not only there are pieces that has almost the same name but are different things, they function in a remote world that does not interfere with ours. Like the UN.