The only thing the Roman Empire, the Holy Roman Empire and the EU have in common is that they have at various times administered some of the same territories.
they have all had different borders, different political systems, different cultures, different religions and different fates.
The passage to which you allude does not specifically identify the entity Daniel is describing as the Roman Empire, or the HRE or the EU.
Has anyone ever thought about the possibility that it is a Islamic Empire and that the Anti-christ is within their ranks right now,