Falling into SPAAAAACE!

Three days ago, I found that there were random level beginnings where the player was out of position, and with nothing under that GameObject, plummeted away. It seemed that the C# script thought the positioning had worked, but the engine had other ideas. This morning, I arrived at the possibilty that I had asked entirely too much of DontDestroyOnLoad() - placed too much information directly with the player's GameOjbect and Components. Sure enough, reverting to a earlier scheme, where each Scene has a player object of its own, and removing the "spot the player at the start of the level" code, solved it.