We can't elect a single official to reverse and destroy decades of work without any parliamentary debate, I guess that makes EU non democratic as opposed to the brilliant US example.
It's a very often repeated criticism of the EU. While it's member states are democratic, the EU Parlament is kinda it's own thing.
I personally still consider it somewhat democratic, as we so have votes (even though they have horrendous voter participate) - but it's not a niche opinion.
It doesn't strike you odd that these claims pop up out of the blue when certain subjects are brought up?
The answer could simply be: "oh it's just ignorance at play, and some people just repeat what they heard and made them feel good because it helped them cope/made them resentful/.."
100% of the time I had these engagements, these folks didn't even know what the EU was. Donald Trump is a great example of this, he has no clue what the EU is, nor how it came to be lmao