I mean nobody argues that the FED governor is voted in, right? In reality a lot of people argue that they're unelected and yet making decisions that affect everyone.
If you don't like how you are represented at the commission, then blame your government. It is THEIR representative - not yours.
Also, don't forget that the commission as a whole needs to be approved by a vote at European Parliament - i.e. by the directly elected representatives.
Any introduction to democracy explains that the power is separated in the executive, the legislative and the judicial.
The European Parliament is suppose to be the legislative body but can't initiate legislation.
The Commission is suppose to be the executive, but, somehow can also initiate legislation and is not elected directly by the citizens. And the council that, I suppose would be the equivalent to a senate, is not directly elected by the citizens.
And we could talk about how all the important decisions are done in the dark, or how, like in this case, when something is not 'correctly' voted, they just keep bringing it back until it pass, or how they have started to 'sanction' people without judicial supervision.
It's time to open the eyes, because this is not going to improve. The EU 'democracy' is a joke.
I hope you agree that elected representation isn't perfect - there is going to be disalignment, ways in which representatives resemble each other more than they resemble their voters.
This disalignment can only get amplified with every layer of indirect election. It never gets better.
Both represent the interests of themselves, the unelected bureucracy, and the elites.
It's good that both the US Fed Reserve Governor and EC appointees didn't have win popularity contests to get there.
So a law:
Starts with member states directly elected ministers pushing and agenda or the council (again elected) agreeing to push an agenda -> Commissioners take this agenda and work with it to propose law (using EU civil service like any other country does) -> The law then gets voted on by the EU directly elected ministers, who are meant to (and do) represent the people of the states more directly.
Everything in that step is as democratic as any other nation (or nearly).
Most people really don't understand the EU - and yes, it is confusing. This unfortunately makes it easy for certain interests to weaponise this misunderstanding. I've spent years (and years) explaining these concepts, but ultimately like any other argument, this is not a debate from logic, everyone has already made up their minds on emotion or ideology and nothing will make a difference.
Once removed even from that, the E.C. second level democracy is beyond a farce.