[germanier]

The whole Commission has to be approved by the European Parliament, not just their President. The European Parliament has forced the European Council to remove candidates before approving the Commission multiple time in the past. In that sense the Commission is more directly elected by the people than e.g. German ministers (who can be chosen at will by the Chancellor).

And of course the national governments are elected (indirectly) by the people as well which makes everyone who they elect also indirectly elected (albeit through more indirection).