The thermostat
Setback works differently with a heat pump.
With a gas furnace, dropping the thermostat overnight and picking it back up in the morning is straightforwardly sensible — the furnace has the output to recover quickly.
With a heat pump it can backfire. Ask for a large recovery quickly on a cold morning and the system brings in the electric heat strips to do it, which is the most expensive way in the house to make heat. The result is a lower overnight setting that costs more than leaving it alone would have.
The fix is not complicated: a smaller setback, a slower recovery, or a thermostat that understands heat pumps and ramps the recovery rather than demanding it. We set this up on installation and we show you what it is doing, because a thermostat nobody understands gets overridden within a fortnight.
The other thermostat mistake
An "emergency heat" setting is not a boost button. It shuts the heat pump off and runs on resistance heat alone. It is there for when the heat pump has failed. Leaving it on through a cold week produces a bill people remember for years.