one can do CPL(H) to PPL(A) despite some FAA CFIs saying otherwise, but logging the FAA PIC time etc, can be sticky point.
There is no sticky point...there are 2 ways to log PIC: (There may be another way when dealing with airships...)
1. Hold a category and class rating for that aircraft and act as PIC.
2. Have a solo endorsement issued under part 61.87 and be the sole occupant of the aircraft.
3. As per FAR 61.89(b) when operating an airship and acting as PIC within the limitations of that rule:
(b) A student pilot may not act as a required pilot flight crewmember on any aircraft for which more than one pilot is required by the type certificate of the aircraft or regulations under which the flight is conducted, except when receiving flight training from an authorized instructor on board an airship, and no person other than a required flight crewmember is carried on the aircraft.