It can take up to 6 months or more for color to stabilize in a coral moved to a new tank.
The change in lighting, both in color and in intensity, is a big factor here, along with other conditions in the new aquarium. Many times the color will never be the same in the new tank, yet I've sold coral that I heard later ended up looking even better in their new home than they did in my frag farm!
Each coral colony is an individual entity, perhaps with slightly different genetics than a coral colony of the same name and ID, so it's difficult to predict how each will do in it's new environment.
Also, remember that most of coral coloration is due to the zooxanthellae algae living within it. That algae will morph and may even be replaced by other zooxanthellae during times like a move or other stressful event like getting too hot. At different times, I've seen coral expel it's zooxanthellae and later acquire zooxanthellae from it's environment that came from other coral in the aquarium system. Color changing coral.
Hope this makes sense.