Earlier quoted context omitted.
> ... because it chips away at the very concept of majority rule and proportional representation. I'm not entirely sure how to read this comment. This country has one of the least representative electoral systems in the whole of the EU and this is for the commons, nevermind the wholly unelected lords.
Do you recognize that this comment doesn’t expose anything contradictory in the OP? The British system can be far from ideal, and yet it still wouldn’t be better to overlay an even less accountable, more centralized government on top of it.
Being able to influence EU decisions through the EU parliament, which uses a more proportional voting system, at least gives you some democratic representation and accountability.
Besides, "overlay" is not quite the right word for the relationship between the EU and the national level. The term used in Article 5 of the EU Treaty is subsidiarity, which essentially means to handle things as locally as possible and as globally as necessary to solve the problem. So it's not like the EU gets to overrule national parliaments on anything and everything.
Of course you can endlessly debate what's possible and necessary in each individual case. But that's unavoidable. They're having the exact same debate in the US and the proponents of Scottish independence have yet another take on it.