Re-hang drywall or leave it alone?

A 5/8" - 12 foot drywall was inadvertently hung above a 1/2" drywall in a bedroom of my future house. Someone plans on using a wider piece of tape to cover the incongruent seams, claiming I won't be able to tell the difference. Are there other reasons why I should re-hang it with the appropriate 1/2" drywall or should I leave it be?