I'm not an expert on ASHP and the hysteresis setting but my best guess is that it prevents excessive cycling of the unit which would otherwise significantly reduce the efficiency of the unit with start up periods.
I need to ask why you need to change the hysteresis. Is it because that the house is getting alternately too cold and too hot at times? If that's the case then maybe reducing the hysteresis will stop that without the ASHP cycling too much when the house is presenting a much bigger load on the unit.
It's only a guess. I'll see if there is anything I can find out on that
Peter
Reducing my yearly fossil fuel usage with an EV (-900 litres petrol saving about £950/year), A2AHP (-8,700 kWh gas, cost neutral) and Timed Immersion heater (-1,500 kWh gas, £20/year more expensive but reducing as the gas price goes up)