That's an entirely conditional statement...if frozen at low enough temperatures the eggs will die almost immediately. If frozen for long enough, even not at sub-zero temps, they will die...and it's only a matter of days, not extended periods of time. It's not like frozen mite eggs have a never ending shelf life.
I agree. But they have been known to survive at least a few months though, which gives plenty of time to transfer if there was ever such a case.