Question : Can you please clarify exactly what the manual means by "back pressure" ... is it JUST the pressure at the discharge end (eg a 5 foot head of water = 0.15 bar), or does it depend in some way on the pressure at the suction port?
Answer : It is only useful as pressure at the discharge as it opposes flow. In the case of the pump it actually aids in the performance of the pump by providing differential pressure on the check valves to aid in seating. It also provides for a mechanism to achieve steady pump flow rates. Although the pump is positive displacement the flow volume can change as the pressure changes. If you keep the pressure steady then flow rate is predictable.
When they say that the pressure at the discharge "aids in the performance of the pump," I think what they mean is that it aids in achieving a steady pump flow rate.
Not that it aids in increasing the pump flow rate.
This is emphasized in the last sentence, where they are stressing that the flow rate is predictable with steady pressure.