I spent two Semesters studying about the question wether the EU is a statelike/souverign construct or not. One in cologne and one in Amsterdam. With all warm heart i Suppose neither you kaide, nor you tylerus are law Students (pls correct me if i am wrong), so i will break it Down to the two main reasons why the EU is not taking on the fundaments of statehood (yet):
1. It Got no so called "competence-competence", meaning the EU is not able to take or gain political Power on its own. Everything the EU is allowed to regulate, every Action it imposes through its institutions, it can just do because the Member States gave the regarding Power to the EU. The EU is not able to take This Power on its own. The flag, the anthem, the borders, the currency etc, all of This was put in place by the Member states, not the EU itself. A State on the other Hand seizes its Power from inside itself.
2. Every Member State can leave the EU at any point, as we all now dramatically Got to know. If the UK wanted and the EU did not gave a fuck, the UK could have left the EU the day after the Referendum, and neither the EU, nor the MS could have done anything about it. In a State, even if it has a federal structure, no single Region can just leave the bigger construct. Texas could not just leave the US, NRW could not just leave Germany and as we could See catalonia could not just leave spain (even though it wanted to). Yes the MS gave some competences to the EU, still every MS is still souvereign. As long as that is the case, the EU can not even be called close to a State.