So if I'm understanding you right, this danger to bees is a sort of hack where our business-needs (namely being able to control what we pollinate and when) cause us to tend these colonies in a way that removes a security precaution (the honey bees "cleaning house" regularly) and these mites happen to be in a great position to shamelessly exploit that precaution and grow beyond bound?
Swarming is just one of many natural behaviors that enhances the bees' ability to survive. This paper from a prominent bee researcher highlights 20 significant differences between how honeybees evolved to live and how we keep them today, all of which reduce the 'exquisite fit' with their environment:
I'm also not convinced this works; hives generally swarm in the spring, and most beekeepers also do a round of treatment in the fall to knock down levels for the winter. Harvesting drone brood is a common way to achieve the same thing you're trying to do, and can be done any time of year.