I am not familiar with how Vogue set up the water system, but typically when the Groco pump was used on the Liberty conversions an accumulator tank was part of the system. A properly charged accumulator tank will deliver a certain volume of water before the water system pressure drops to the pump cut-in pressure. If the accumulator tank has a large volume it could deliver a gallon or more before that point.
When the pump does kick in it will replace that amount of water, plus continue to deliver whatever volume of water is needed to complete the task, such as a toilet flush.
If the accumulator tank does not have a sufficient air charge the pump will short cycle and kick on and off almost immediately with any water use. I consider the system healthy if the water flows for a while before the pump turns on, and then takes a while for the pump to recharge it. The only reservation or concern I would have is if Vogue installed any potential line restriction immediately downstream from the pump, such as a check valve, but any such restriction would more likely cause the pump to do some starts and stops as the accumulator tank is recharged with water.