Nobody voted for Dick Schoof either, yet he is a prime minister of the Netherlands. That just how coalitions work -- a lot of trades behind closed doors and then a vote in a legislature. The bigger the chamber the more stuff happens before the closed doors or in a commettee.

>She didn't run in a democratic process of any kind, so she isn't a politician

The word you are aiming for is "аппаратчік" -- carreer party member. Which is a fair point, but I don't see it as something fundamentally wrong. I want an experience faceless bureaucrat to do the very valuable faceless bureaucratic thingy -- the technicalities, of which are many. I like, it's great.

> and the Parliament can't propose changes to the law either

They sure can and they sure do it. Commission gives a draft, the chamber votes on the first reading, then a committee in of the parliament can do whatever with the text, including changing "approve" to "reject" making it the opposite of what commission proposed. Which is then voted again by the parliament and again by the council ( which is basically an upper chamber ). I'm not sure whether the chamber can bring back voted down amendments or introduce their own during second or third hearing, as I didn't read the procedural rules, but I suspect it's all there.

If anything, the whole thing is more resembling the original US double chamber parliament than the current US, because the EU of now is as fragmented (or you can say federated) than US was when it originally formed.