Yet in the EU parliament each country gets representatives proportionate to their size and the positions in the EU commission are filled basically how the larger countries decide? So your analogue doesn't really hold and frankly, just because UN (which gives their largest members veto-power), has one country one vote system, it's quite a stretch to extrapolate that to mean it would be a good fit for national governments too.
Or how would you feel if some rural area in your home country got the same amount of votes than the whole capital? Would make perfect sense, right? But all in all, they are so different organizations serving very different purposes that comparing them isn't even that useful.
The EU is more complex than that, there's the European Council, which is not proportional to population (made up of the heads of state, like the original US Senate). The Council is involved in foreign affairs, particularly trade agreements.
This is why Belgium had a veto over the Canada/EU trade agreement. In particular, it was Wallonia's PM who held the veto because Belgium devolved that power.
I think you miss the idea of how analogies work. If I say "the Moon is affected by Earth gravity just like an apple that falls down is" then if you way "but if I put an apple underwater then it'd flow up instead!" that doesn't mean my analogy didn't work. That means you are talking about different things that are outside of what analogy is about.
The fact that EU didn't choose equal representation for member countries and as the result minor countries are powerless is exactly why minor states in the US do not want such arrangement. Just as with an example above about the apple, your counter-example does not disprove existence of gravity - or flaws in proportional representation between sovereign states - it in fact supports it, you just fail to see how.
> Or how would you feel if some rural area in your home country got the same amount of votes than the whole capital?
If that's the arrangement that is the condition of the union between the rural area and the capital - perfectly normal. I know Bill Gates has much more shares of Microsoft than I do and I don't feel bad about it. Why should I feel bad about those things?
Or how would you feel if some rural area in your home country got the same amount of votes than the whole capital? Would make perfect sense, right? But all in all, they are so different organizations serving very different purposes that comparing them isn't even that useful.