Ok i did not see anyone else metion this, nor was it confirmed not to be true......
DID YOU HAVE A PUFFER OR BOX FISH IN THE TANK??
If so, maby it was stressed or died first??
The toxins from the box fish /puffer would not show up on water tests, OR really kill off corals. But it would essentially Nuke the other fish. A Penny, or copper screw would casue toxins too, but would nuke coral as well correct??
Otherwise, all things that i think it may be, have been covered, or reviewed above.
IT HAS to be some toxin, as when he moved the fish, to the hospital tank, its fine.
Maby you cleaned the tank decorations before/during the transfer? Hand lotion/soap on hands or your perfume on hands.
I would recommend 100% water change, and investigate the tank rock and items before re adding water. Maby even replace the substrate, it you believe something was droppped in it, and you couldent find it.
Buy a NEW bag of salt, or get the water from a diff store, if your using pre mixed /sea water.
PLEASE TRY A FISH ON ITS OWN, and watch it, dont let it die.
If it is lathargic, or breathes with gaping mouth, pull it out, as the problem still exists.