Just a picky technical point:
d) even if it did stop before it could be feathered because of oil loss, it would probably feather or get close to feathered by the nature of the CSU mechanism.
The problem with piston twins is that, unless positively feathered reasonably early on in the drills there is a good chance that the prop will never feather. This is because the 'feathering latches' drop in at, typically, 600 rpm and stop the props from moving to the feathered position. The reason for these latches is to stop the props feathering when shutting down normally on the ground. You would not be able to ground start an engine with a feathered prop because of the propeller drag.
Some turbo-props, like the PT-6 have a free turbine and so feathering is not a problem - you can even do it while the engine is running!