Sometimes yes, Sometimes no. The more their environment changes, the more likely a trigger event occurs causing them to melt. New spot may have different lighting, flow, nutrients in the substrate. Even something as simple as a water change has the ability to trigger a melt. Its just the nature and survival instinct of a plant that versatile.
When I move crypts I typically make sure the new spot has a root tab for them. Within the same tank I've never had a huge issue with melt when re-planting.
I did accidentally shock them early on in my son's 29g guppy tank during a water change. Complete melt to a nub above the sand. I cleaned up the die-off mulm, gave them a few root tabs and had health plants by the end of the month.