The question of whether a returned article would be destroyed is something to consider, though the notion that this would happen in Iraq and Syria assumes something like another US invasion which caused the destruction and looting in Iraq and Syria the first place. Americans (or others in the Coalition of the Willing) arguing we should keep stolen antiquities because in the future we might destabilize the places we're returning stolen goods to so badly they could be destroyed sounds a little like a threat.

I'm not at all comfortable with the idea that Americans shouldn't return stolen antiquities because America might destabilize the region of the original owner again so badly it could be destroyed.