SJB,
The issue is maintaining the economic priority of the heat sources ; Solar, AirSource, Gas/Oil.
Unless there is a well thought out control system as soon as gas or oil kicks in the airsource will generally trip out fairly quickly on high return temperatures. To prevent that, the control system needs to keep the gas fired input flow temperature at the same level or slightly below that of Air Source pump and reduce it further as the return temperature increases. In essence, gas is then mimicking the Air Source pump working in warmer weather.
There are other ways, but that often requires the use of a separate store.
Also bear in mind that where mains gas is available, the economic benefit of installing an air source system are marginal. So once you start to use supplementary gas on very cold days, the effective annual COP will start to fall even further.
Does that make sense?