I've never heard of crystals forming when you warm a solid up to it's melting point.
Rather liquids are kind of the opposite of a crystaline structure last time I checked.
But they do form when freezing, and that's why they try to do the really rapid glassification as it is an attempt to stop all crystal formation, or at least limit their size to very small. Those crystals can and do puncture cell walls, which means that cell is a goner. Lose enough of those, or some really critical ones, and the creature is toast, end of game, don't even bother to thaw it out.
Now we do have some creatures that can survive freezing conditions, but they've got some tricks that aren't applicable to humans without some serious genetic modifications we don't even know how to do. The short version is they tend to flood their blood and cells with a type of antifreeze so there are less or smaller ice crystals so more of their tissue survives. Still, they can be killed by freezing. When you get to the single cell or other very simple types, it's a lot easier for them to survive since their structures are simpler and their cells less specialized.
I do find the idea of using induction to warm the material interesting, but having that material appropriately spread out in a living creature before freezing seems to be a rather difficult proposition. That's assuming those nano particles don't themselves cause an issue. I don't see it being done after freezing anymore than I see someone distributing sugar into an ice cube without pulverizing it. That would rather defeat the point.
Anyhow, interesting idea, but still, WTF