Dream on. They would still be in one piece, (they wouldn't have been hacked up), they wouldn't have had 2 years under water - or a further 16 years in the damp, or subjected to an acid wash ... Such is the "care" they received ...
'Ownership', it seems to me, is rather a nebulous point. The modern Greek state has no historical connection to ancient Athens; nor has modern Egypt any connection to the Rossetta stone. In the British Museum, anyone can go to see both and tons of other loot, free, without danger of being attacked by a religious fanatic. Both are being looked after responsibly; I say leave them there.