Oh yea. I’ve been in houses (outside the UK). Had heat pump water tank and an air to air heating (and ac) system for the house.
I’ve always wondered if you could have an air to water system that fills the tank for the taps and then heats the radiators. But also have supplementary heating air to air. Maybe a big one downstairs in the hallway or in the main room of the house.
But with the UK it always comes back to having the worst insulation in the world. Fix that and we wouldn’t even be discussing heating systems.