typical resistance mechanism is that the organism either dies or does not die. those that do not die pass on their genes (or other traits) that helped them survive to future generations who then pass on successful genes (or other traits) that allow their future generations to survive in the face of the insult. But it is rarely an antibody response to a chemical such as a pesticide, so its not really like a vaccine.
reproductive cycle of mite is short - something like 10 days, so even in a regular 4-6 week cycle of using apistan you could start to develop some resistance, but reproduction of the mite is required to "breed" resistance, and during cold winters you just can't have a fast or robust mite reproduction because not enough bee brood for them to use to do their normal reproductive mechanism. Cold also will slow down the mite as it does the bee.
So, there has to be less resistance development during cold winters than during regular seasonal use of any pesticide.
Not saying it is a great thing to leave it around longer, but resistance would develop much slower in cold winters. it is also not guaranteed that the mite will develop resistance, just like ther is no guarantee that a bee will develop resistance to mites just by not treating them and letting them be expose to mites. especially for an external parasite . . . you can't develop antibodies to an external parasite . . . traits like grooming or possibly other mechanisms of "resistance' can develope, but extremely unlikely to develop antibodies to an external parasite.
It is possible that bees will eventually just become extinct - pesticides to treat mites or not. No species is guaranteed continuing existence :'(
But, much of this is semantics. :)