After an out vote of our choosing we could clearly not terminate the employment of bread winners currently working in the UK(not humanitarian). We therefore would need to put in place a system of work permits for those EU nationals currently employed in the UK. Other nations who are not having any referendum and who don't have this kind of work permit system already in place would not be obliged to do so. To me that's obvious.
I am sorry but I don't really understand your points (AS + Stig). We can not force further bureaucracy on other nations because we have forced it upon ourselves. Other nations will not have to allow employment of non-EU citizens. It's clear (to me).