Greg, Our coaches use the headhunter toilet. The toilet uses little water per flush, but it wants the water it uses delivered rapidly under a decent pressure.
Regardless of inlet restrictions the key to successful operation in our coaches is downstream from any flow restrictors because from the pressure accumulator tank we have a 1" unrestricted line directly to the toilet. If the accumulator is water logged any pressure drop will bring our pump on line. The pump also provides high flow at high pressure.
If the pump is turned off and there is a reliance on CG water then it is imperative the accumulator tank is functioning properly.