I've put frames of crystallized honey in hives, and put swarms on frames of crystallized honey. If it is during the nectar season, I usually see lots of sugar crystals on the SBB insert afterward, so assume that they clean a lot of this out. Although if capped...then I don't know.
But if kept frozen then it won't crystallize anyway although it will dry it out a bit. Although, IMHO, if the freezer is sealed, then you shouldn't need to keep the freezer on all the time, just give them a good week of sub zero temps and turn it off.
Rick