That is only a fact if you are freezing at proper temperatures, and your average home freezer does not achieve those temperatures. And your insistence that thawing and refreezing can be done as often as one would like is highly misguided...hypothetically speaking, I suppose it can be done, but there is such a microscopic margin for error when it comes to time and temperature, that refreezing safely in one's own home is almost impossible. Sorry for the tangent, but I've been working with food long enough to know that misguided assumptions lead to horrendously poor food handling and potentially sick people(or animals).
Anyway, I feed live for a few reasons. It's convenient, rather inexpensive as I breed my own feeders- with no waste, as I wouldn't refreeze thawed/warmed up rats, and I truly believe that the freshest food item is the healthiest. I give my snakes 10 minutes to feed, if they don't eat, they wait until next week.