Using attached repro mission:
1. Start engine.
2. Select 'Damage Helicopter' from the action menu.
3. Wait until rotor has completely stopped (Sometimes rotors wont completely stop until you get out of the helicopter. On a side note, why is this? Related to ticket #0020163?).
4. Select 'Repair Refuel and Heal' from the action menu.
5. Attempt to restart engine.
If engine starts sucessfully, repeat steps 1-5 until engine starts but rotor fails to spin up
For a non-scripted approach, you can try repeated heavy landings and using the provided utility trucks to service yourself/helicopter and you should arrive at the same conclusion