That sounds like a fun thought experiment. What exactly would happen?
I think is why the EU and UK pushing so hard to open the gates is so they have the excuse to take control themselves and slam the gates back shut hard. I predict the outcome in even a ten year period is all apps will need governmental approval.
Opening the gates is not necessarily the best long term decision either.
You have to remember most governments are corrupt and it will devolve into a situation on who pays the best bribes over the current flat rate extortion.