Goodness.... I'd be happy to hear why it does not do as described. (I think can take it.) People get confused at the name high volume; that describes only the pump. The system's flow volume behavior is not just the pump; it is the pump, the relief spring, and the system's outlets.
Not sure you meant to say one thing or another on the matter, but the first sentence is what I am trying to explain .... both pumps will push out adequate volume to trip the pressure relief at sufficiently RPM's. The only place that an HV pump will show higher pressures is at lower operating RPM's where the output pressure is below the level of the relief spring.