T
he props should always be on the fine pitch stops unless feathered.
On most twin-spool turboprops (PT6, PW100 etc, CT7, ...) the prop will go to feather when shutting down - that's how the linkage is set up. When starting the engine, the core (gas generator) simply doesn't care whether the prop is feathered or not.
But a fixed-shaft (single-shaft) engine like the T56 etc. MUST be in fine pitch for starting - too much drag otherwise.
And whatever you think of en.wikipedia, their pages on controllable and constant-speed props are well done.