The air cooling system is switched off below about 4°C outside air temperature for two reasons.
1. The air cooling matrix completely fills the inlet air duct, and below 4°C or so any moisture will freeze on the cooling coils. This will block the inlet air pretty quickly, meaning no deisting and no fresh air.
2. Below about 4°C the incoming air is pretty dry anyway. The only reason that "air conditioning" in cars drys the air is that by coooling it, any moisture is squeezed out (cold air can hold less moisture than warm air). The cool air is then heated up, which makes it dry and helps demisting. if the incoming air is already cold, there's not much point in trying to cool it any more.
if you've got a seriously misted up car on freezing mornings and turning on the demist button ( maximum flow to windscreen) doesn't clear it quickly, then you've almost certainly got a water leak and water under the carpets.
Your mum's Yaris is probably switching off the air cooling but not telling our mum about it.