> They never had a mandate
Untrue. Leicester removed the mandate after protests. You can look it up, there were thousands of prosecutions. They had previously had mandates and even after it was removed the majority still vaccinated. Having said that, the Leicester method was absoutely, provably better than vaccination even if you don't take into account deaths from vaccination itself.
With all that in mind, vaccination did reduce the risk of infection and the risk of death from smallpox (assuming you survived vaccination). That doesn't mean vaccination was a good idea considering the high death rate, but my original statement is still true.