Source can be downloaded from the EU website: https://europa.eu/eurobarometer/api/deliverable/download/file?deliverableId=97983
It’s linked to on this page (near the bottom in the “infographics” section): https://europa.eu/eurobarometer/surveys/detail/3492
If we’re talking about the big, rich EU counties, then yes. But for poorer ones, EU has genuinely fucked some of them over via imposing austerity and offloading debts onto the working classes of those nations, often via strong arming.
Greece is an explosive example of this, being fucked over by their incompetent government, sure, but also by Troika who literally strong armed them into taking bailouts fully knowing they wouldn’t be able to pay them thanks to extreme austerity measures, leading into an even deeper crisis. When Greeks elected anti-austerity parties who resisted, Troika cut off Greek banks from emergency funding, leading them into a collapse and offered an even more predatory deal afterwards. Even when looking at the more successful crises (Ireland, Portugal, Spain, Italy, Cyprus), it’s debatable whether or not Troika did more bad than good with their imposed austerity.
Wall of text, blah blah - EU is still overall good, don’t get me wrong, but it’s idiotic to say that they’re free from criticism and anyone who does so is just deep in the propaganda.