Not sure if remain or exit of the EU makes much difference. The Crown Corporation of London which is a conglomerate is not accountable to the EU. In fact, like the Vatican in Rome and Washington DC, it governs itself above super-states like the EU or the United States. Leaving the EU will not disturb NATO or the IMF. Debt and the war machine will continue. Immigration however, might be reduced.
First, the Vatican is a Nation State just like the Great Britain or United States
If, as you say, it is a nation state, then is it a member of the EU? In fact it would not even qualify to get into the EU but because it is surrounded by an EU state, Italy, it is inextricably linked to the EU but not governed by it. Although recently they have been forced to pay taxes on all non-religious properties including residential spaces and shopping malls. So yeah they don't have to pay taxes on church and religious buildings. This makes them above the EU super-state in my eyes.
The tax I think you are talking about specifically is the 2013 Italian tax on religious commercial properties. But that is Italy taxing properties in Italy, not anything within the Nation State of the Vatican and not an EU tax.
No the point you are missing is that the Vatican has been dodging tax for years. It has only recently been under investigation over its tax affairs. It has only recently been under investigation over other matters as well. Can you tell me who was investigating it? Itself? After all it is self governing. No - the US had it under investigation along with Italy.
If the awful happens (the "leave" side wins), then we can rest assured that it will be by a razor thing margin. Make the case that it was an older rotting generation that made this disastrous decision. Just keep hitting the point that this catastrophe can and will be overturned as the nationalists shrink in numbers each and every passing day, while a brighter young generation replaces it with anti-nationalistic thought and feelings.
Surely it's the older 'rotting' generation who, having witnessed the changes, are in the best position to cast an appropriate vote. The young fools have nothing to compare against. Now I am not saying things were great in the good old days, I remember things being pretty bad, but there was more freedom, less surveillance, and you could even kick a can down the road without getting a fine.
Take Greece for example. They have had copious problems financially. And although they called a vote before to stay, that was prior to the migrant crisis. My guess is that pendulum could swing the other way now.
I was pro-EU for a long time and it has only been through painstaking research that I have become euro-sceptic. I am not sure that all the Greeks have the knowledge, the education or the will to find out about the real agenda. A faster way to be euro-sceptic but without the understanding would be to simply hate immigrants. You are suggesting that this faster approach would result in a real pendulum swing which may or may not be true. Alternatively, maybe people in the UK are more hateful. I would still like to believe it's thanks to a better understanding.