Combustion furnaces deliver very hot air so they can cycle on once in a while and then turn off. Heat pumps deliver warm not hot air so they have to run longer cycles. The slower rise in room temperature can even mean that it makes more sense to set a constant temperature on your thermostat instead of letting the temperature fall when you're away during the day (the conventional logic to save energy).
Why is this an issue? We have a ducted/ductless system. Air handler for ducts on first floor and basement. Upstairs has a mini split in each room. Having air handler constantly push air at a reasonable temp makes for a very comfortable living condition. Compared to a furnace that’s on/off with wider temperature range and more divergent temperatures throughout the area.
