Of course, there is a tradeoff here, members loose a degree of independence, and there are serious problems with the design of the Euro, laid bare by the financial crisis.
But one should also compare the current situation with the alternative, which would be european nations facing US, Russia and China on their own. Their bargainaing power and influence would be severely reduced, as the UK is about to find out.
I see this current trend against international alliances as part of the larger wave of populism and nationalism in the wake of the financial crisis, where people are looking for whom to blame, and the real culprits (crony capitalism) are too happy by the distraction: career polititians, and the rest of the world in the US (how else to explain Trump?), the EU in the UK, the West in Russia, and, more to the point, Spain in Catalonia.
Much of this talk of the EU being against its members' interests is Kremlin propaganda, given that much of Russia's weakness lies in the strength of western alliances, so it is in their interest to weaken or break them.