> EU seems to have an abundance of unelected regulatory positions.
Like many other system in the World, elections are to chose people's representatives, not to chose the government nor the technical apparatus (like the EU commission).
The US president is one notable example of non elected position.
Anyway, the proposals must be approved by the parliament, which is elected directly by the EU people in number proportional to the population of the single countries and then ratified by the single EU parliaments, which are again elected by the people.
I wouldn't exactly call it "abundance of unelected regulatory positions".