Do you really believe this? Less than 10% of the world's population has been vaccinated for smallpox. How could the vaccine possibly be responsible?
If the vacccine is used in the 10% of the world where it's a problem, such that there are then zero cases in the entire world, and most if not all of the spores in the wild decay for lack of hosts, then it's "eradicated" for all practical purposes.
Except, of course, for the stockpiles that we and the USSR kept, ("just in case"), and who knows where the former Soviet ones are now.