I don't believe it does. Remain was about the status quo, nobody promoted the vision of what you post, its an assumption driven by the anti -EU lobby.
I am on record here saying that I would have supported exactly that vision, but it was not an option on the ballot. I wish the option was there and that it was possible to be part of a Federal Europe with an elected President, EU armed forces, a powerful and accountable central bank with a singular economic policy. I see that as progress not regression. Remaining/status quo gives us none of that, it would still be a collection of sovereign states with a common goal rather than an integrated state with a common purpose. That's a nuanced difference between remain/status quo and what we could have with a more visionary approach.
I have not seen any argument that says a fully federal state would be a bad thing beyond taking away from British exceptionalism and the mythical view of national sovereignty. If self government was so important why is that the UK act of union proved so successful. We have four disparate and distinct nations sharing a currency, a central bank, armed forces, a common head of state and a singular economic policy. Instead we as a nation have become introspective and isolationist at a time when the rise of China and the re=emergence of Russia are threatening the world stage. A fully federal EU would lessen our reliance on the USA and the EU could become a bulwark between those emergent economies and those established superpowers.
Have you got a cogent argument why a fully federal EU (not the status quo/remain) would be a bad thing?