With 15,250 gallons, one turnover in 24 hours is 15,250/24/60 = 10.6 GPM. As you could see from the table, that sort of flow rate uses more total energy because of the fixed (constant) energy used even when the pump is not spinning at all. That is, there are fixed energy costs of around 80 Watts for the resistive losses in the wiring and the other electronics (or so I would assume that's where these losses are). So you have to run the pump fast enough to have a flow rate that makes up for these losses (by shortening total run time), but not so fast as where the frictional losses from the piping come into play (at higher flow rates). That's why the sweet spot is at higher flow rates of 23-30 GPM. Only if there were no such fixed losses would it make sense to run the pump as slow as possible, but it appears that is not the case for this (or probably for any other variable speed) pump.
I don't think you will even be able to do a super-slow 24 hour turn since you said the pump will only go down to 400 RPM anyway.
The calculations I did actually don't depend on the specific system curve (i.e. piping length or size) unless the system is far away from the efficiency points on the pump curves and those are rather broad. But again, this is all theory based on Pentair info and the only way to know for certain is to measure your electrical usage with your real pump on your real system vs. flow rates.
One final point to make is that I assumed that the 80 Watts that appear to be consumed by the pump independent of RPM is something that goes away when the pump is turned off by the controller (i.e. put into standby mode, if it has such a thing). If instead the pump is drawing 80 Watts all the time even when it isn't running, then my assumptions would be wrong and you should use the lowest RPM for most efficiency so should run all the time (i.e. 24 hours). However, in practice the slowest pump speed allowed is apparently 400 RPM so that is the real limit for most pools. It should be easy to have the pump off from the controller, measure the electrical usage, then unplug the pump (or turn off the circuit breaker to it) and measure electrical usage again. This would be useful info.