I just now see that you are asking not only about the ARC valve but also about a "backpressure regulator" installed in the recirculation line.
I have used a control valve in the recirculation line to account for the variable flow condition you must sometimes accomodate while starting up or shutting down a pump, as I tried to explain in your other posting.
I have used control valves for that purpose when there is a need for an accurate method to proportion a pressure build up, to go into the downstream pipe and equipment, versus the need to also maintain a minimum flow through the pump while doing so.
The control valve was needed in those cases because the engine usually had to warm up, or wait for upstream pipeline pressure to build (both conditions could take a period of up to 15 minutes) before we could begin doing a ramp up to maximum pressure.
If you do not have a very high pressure to reach before minimum flow into downstream equipment is reached, you probably will not need a "regulator" or control valve to help you build up that pressure. A simple on/off valve in the recirculation line might be more appropriate, but when you turn it off, pressure should build quickly enough to flow downstream without undue delay and without overheating the pump, so you must get to min flow quicky after valve shutoff.