Putting some numbers into the equation for your 14,000 gallon pool with current SoCal utility rates:
With a 400k BTU/hr 84% efficient gas heater it will take about 3.5 hours to raise the temperature of the pool 10 degrees. The heater burns 4 therms/hour, and the current rates for gas from SoCal Gas are just about $2/therm for usage over baseline (which you most likely will be doing). So cost to heat the pool 10 degrees with gas $27.80
I looked up the Jandy heat-pump J2500T (because they have reasonably detailed specifications online). For a heat-pump the performance varies quite dramatically with air temperature. On an 80 degree day you can expect it to take 10.6 hours to heat your pool 10 degrees. At 5.55 kW that works out to 59 kWh, SCE currently charges 0.30/kWh (off peak) so that works out to $17.10, quite a bit cheaper. With 50 degree air the time rises to to 15.8 hours, and the cost to $25.41, surprisingly still cheaper than the gas heat.
If you are in the DWP territory (or one of the other city-owned utilites) your rates may well be cheaper than SCE, and that will tilt the equation further in favor of the heat pump.
Humidity has a relatively minor effect on the performance of the heat pump. The main factor is the temperature difference between the water temperature and the air temperature.