No. I have learned something today.
I understood that a starfish will regenerate from anybody part. In fact, in my daughter's high school marine biology course they were taught that if you cut up a star, put the pieces in a blender with sea water, make a slurry of the stuff, then allow it to sit in a viable sea water aquarium, the slurry would clump and then regenerate into billions of stars.
BTW, I would NEVER cut up a crown and leave the pieces in the water. I would spear them, collect them in a bag and leave the bag up on shore in the hot sun. Crown of Thorns decimate coral in a short amount of time. I've seen that personally.
Only one star seems to be able to regenerate from the arms, the other stars can only regenerate from the central disc (or perhaps from large pieces of the central disc?).
Maybe you can try it out! Only way to know for sure.