This thing can be fixed by having low temperature floor heating. It does imply that your heat pump should be air to water or water to water versus a mini-split which is air to air.

Low temperature means only a couple of degrees higher than ambient. It just constantly radiates. That also mean that heat pump needs to work less hard.

It does require a significant amount of insulation to ensure you don't lose the heat immediately.

And because of the high mass it means that interruptions aren't noticed.