Then basically what you have is a chicken or egg problem. No powers to EU until it's even more democratic. And EU will stay powerful and less democratic as a result with no real motivation to democratize because they will never be democratic enough for naysayers.
And mind you, in most European countries, laws that have any real chance to go through are proposed by Governments. In many cases any MP can propose laws, but their chance of going to through is typically extremely slim to none. Europe needs practical solutions, not hypothetical possibilities that will never have any real meaning.
At the same time, smaller states are far easier to pressure in undemocratic ways from outside and in the age of superpowers, no single European state can survive pressure from US or China and would have serious issues handling pressure from Russia. You would basically be sawing the branch you're sitting on.
I suspect that your point of view is "common" mainly in UK, which is a notable outlier in EU when it comes to this issue. Most people I've met across Europe are certainly wary of EU's undemocratic tendencies, but generally don't even know how their own country's political system actually works, much less EU. The only practical difference to these people is that EU seems more remote.