From my understanding the way coronavirus kills people is by basically your own immune system overreacting and causing lung liquid to build up and other reactions of that nature. So could it be the vaccine deaths were similar, that the immune system just overreacted to it? Maybe it's the thing of giving certain groups of people a smaller dose if they can narrow it down.
AFAIK the vaccine can cause a short reaction due to the immune system reacting, but it's not the same thing as a full-on infection.
The lung issues with the real infection usually appear only after 5 days when the infection moves down there (and not everybody have that happen, but the ones that land in hospital did).
The point stands that if you vaccinate people who are about to die, some of them will die shortly afterwards in part due to pure chance, and in part because getting a fever for one day was the last one-fingered push over the brink they needed to croak.