Last year I visited my quack about something unrelated, he was looking at my records and noted I hadn't had my flu jab yet, so said we can fix that now and off he went got it and gave it to me then and there...
Personally I agree, everyone should have the Covid ones, as it is no good most of the population having it and the few that haven't developing a new resistant strain to the current vaccine and putting us all at risk and back to square one again. So I agree with the mentality on this, sack them if they will not have it etc..