You are not correct. The NSPH available to a pair of pumps piped in parallel is not affected by the presence of the other pump except for the fact that the flow to the second pump may increase the total flow through part of the suction piping and thus may increase the flow losses. But this is not always the case. The NPSH required for each pump is a property of the pump. It is not changed by the fact that the pump is piped in parallel or series or alone.
An example may help to illustrate my points. I have two pumps piped in parallel. They both tie into a common suction manifold and a common discharge manifold. There are no control valves, orifices or other imposed pressure drops in the piping that connects the two pumps. Rather than running one pump at its rated flow of 1000 gpm, I run both pumps at 500 gpm each. The total flow is unchanged. The NPSH available to each pump increases very slightly. The flow through the common piping is still the same and so it has the same pressure drop and flow losses. But the flow through the individual suction line to each pump is running at a lower flow, lower velocity and so it has a lower pressure drop. For a typical API centrifugal pump, the NPSH required by each pump will drop as a result of the lower flow through that pump. So, I have a higher NPSHa and a lower NPSHr. In theory, I end up with a better NPSH margin and the pumps are less likely to cavitate.
If this is the case, why don’t I prefer to run all of my pumps in parallel? First, running at 50% of rated flow, each pump will have a lower efficiency. Running further from the best efficiency point, each pump will have higher radial loads on the impeller. Each pump will be running further back on the curve. Depending on the shape of the curve, the pumps may not be sharing the flow equally. Especially if the curve is flat in this region, any slight differences in the condition of the pumps will drive one to carry a higher portion of the load and one to carry a lower portion. The pump at lower flow could drop below the minimum flow required to avoid suction recirculation cavitation or other destructive conditions.
It is much more common in the real world for pumps running in parallel to be less reliable than pumps running individually. But it really depends on where each individual pump is running relative to its best efficiency point and how much NPSH margin it has above required.
As a reference to the principals involved, I would suggest any of the following:
“Pump User’s Handbook” by Bloch and Budris
“Centrifugal Pumps – Selection, Operation and Maintenance” by Karassik and Carter
“Cameron Hydraulic Data” edited by Heald
Johnny Pellin