Pistonless rocket fuel pump advantages:
The system uses less than 1% of the fuel mass of the fuel used as pressurant which offers a performance compared to the 2-3% used by turbopump rockets
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The system has few failure modes, which fail benignly. For instance a small leak in one of the check valves will only increase the pressurant consumption of the pump; it will not cause a pump failure.
Easy To Implement
The rocket fuel pump is easier to integrate than turbopumps because it can be easily scaled up or down and still provide constant, controllable pressure, regardless of flow.
The rocket fuel pump is easy to start up and shut down with no spool up time required. Also there is a negligible chance of catastrophic failure because typical failures modes are benign.
The pistonless pump is not susceptible to contamination, contains no sliding parts or lubrication, and may be started after extended periods of quiescence. Also the simplicity of the pistonless pump pneumatic operating system reduces the risk of fluid cavitation during operation.
The pump uses inexpensive materials and processes in construction which can be easily scaled up or down, keeping engineering and test costs low