My wife got a message about vaccinations being available, and specifically she got it from same district office desk that processes my work permit.
The communication still failed to mention whether the vaccination is available for foreigners - could have been just to remind foreign-invested enterprises (one of which I'm managing) to get their Chinese staff vaccinated.
Besides practical health reasons and travel restrictions during he pandemic, I'm sure that UN agencies are also closely watching for WHO's forthcoming report on the biological origins of the pandemic. There are makings of a PR disaster for both UN and China.
If "having to" leave the country amounts to being deported, I'm fairly certain that it goes to same category with the Chinese government paying the flight tickets in order to get the foreigner out of here. That is, they would pay to get you shot.
Under milder circumstances for the exit I don't know, but I suspect that having to leave the country will not allow one to get a jab any faster than foreigners here in general - unless one is in position of some added privileges.