The EU is not really voted by the people. Very indirectly at max. And even then there are many people with cars who want to keep their cars but still vote green here. For some obscure reasons.
EU memberships are voted by the people. We have already seen that populism can get a country out of the EU even if it's not a great idea. And there are already vocal people against EU memberships. Imagine giving them more reasons to rile up people.
Would be a good thing to be honest. The EU is a trade pact that went horribly wrong with overregulation and a lot of costs. What happens in the EU is not voted for but if you are in the EU is. Huge governments are just as harmful as huge companies.