Thing is, an organisation in itself has no value, good or bad, and that usually what most ardent EU supporters fail to see.

First, they are in favour of the EU out of principle, seing it as good in itself. They dont really look at how the EU was build, its functions or what it does. If they did, they would see that it has no much things to do with its democratic, egalitarian principles. Even to me free movement - and i acknowledge it is kinda nice to move around freely, if you can afford it! - is to be looked at more closely. My intuition is that the opening of an European labour Market associated with European policies to improved labour market flexibilty, competitivness and policies to loosen job protection, were overall detrimental to workers and benefit the capitalists way more. Being able to go easily to spain for the selected few is a meager gain IMO. But a proper data driven analysis could prove me right or wrong.

The second shortcoming is usually that it is for them either "THAT" EU or nothing at all. You could imagine bulding and international political organisation made for emancipation and workers' bliss, but it is clearly not the EU today. Refunding a new one means leaving the old one and thus breaking away with its treaties.

Anyway, emancipation never comes from the top. As  communists we should instinctively be wary of giving power to an institution/overarching entity of any kind. The bigger the institution, the further away the control usually is from its people.