Well how many doctors would they need? I don't think many. And IF there is some grand malevolence afoot, then I am sure they have enough non-jabbed medics ready to serve.
IF these jabs do cause the vaccinated to become ill (with this ADE for example), then there is no way that this will be officially admitted. The un-vaxxed will get the blame - I am sure of that. As you note, it is already happening here. Most people on Ciba are quite happy to see a nascent apartheid state with digital scannable passes. Some, of course, are ready to blame us for their or their relatives' illness as well. I don't see why history - in all its remorseless predictability - would not repeat itself on this occasion.