i think i get what you are saying. not sure if the same issue by i have not been able to stop/pause particle systems. when a particle system gets destroyed or hidden, live particles continue their lifespan. not sure if a bug or a feature.
I had a similar prooblem and open a support incident with Developer Technical Support. They replied:
Please file a bug report for this behavior using Feedback Assistant. There is no workaround to avoid this behavior, adding a particle system to the scene will cause the renderer to render continuously.
So it would appear there is no way to stop automatic rendering when using a particle system. I sort of worked around it by dropping the preferredFrameRate down to something like 10 when nothing is happening. When the user interacts with the view again I bump it up to the maximum.