Re: very hot coil
YES! If the engine has stopped with the points closed, then voltage at relatively high amperage will constantly be flowing through the primary side of the coil, generating heat and killing your battery.
Old style Chrysler Magna-Power ignitions will also drain the battery if the key is left on. Although no current flows through the coil, the internal electronice are still energised and eventually the battery will drain.
Newer style Force ignitions are self energising. Unless the flywheel is turning about 300 RPM, the ignition has no power and leaving the key on with the engine stopped will do nothing.