Yes, ignoring the details of whether the starter is series or in parallel with the motor windings, a single phase induction motor with starter winding is effectively a 2-phase motor isn't it? - effectively the same as a 3 phase induction motor, where 1 phase is unused. As I said I didn't know what motor is used in the 8000NC (whether mains or lower voltage).
The idea is to use the phase shift in the LC circuit (starter winding and capacitor) to provide a starter torque that's up to 90 degrees out of phase relative to the motor winding current - otherwise the motor would not start since the net torque at power-up with single phase induction would tend to approach zero until and the motor is given a "push" in a particular direction by an external force.
I'm really not criticising what you posted Pete, just indicating what my "hangups" are about not replacing like-for-like and giving my reasons for it. It's totally down to individuals what they do RE: repairs or policy concerning repair and their own opinion - I've not seen anything laid down in stone besides guidance from the MHRA.