I don't really think in the overall scheme, it will matter too much. The important issue is to get as many people jabbed as possible . Too few start to administer the vaccinations though despite people offering their services.
Have you seen the amount of hoops and fireballs that retired medics have to jump through in order to be allowed to help the NHS? There's a whole list of does and don'ts - one dentist who currently works 4 days a week, with weekends free, has withdrawn his offer to assist due to the list; he is already covered for most eventualities. By the time he had read and considered the list, he had decided it was going to take too much of his time to justify filling it in.