Or a fridge/freezer that dumps out heat indoors during A/C season, and/or a hot water heater that isn’t combined with the refrigeration system.
A single heat pump could run it all: fridge, freezer, pool, HVAC and hot water. Maybe even a pre-heat element on a stove top.
Going a little far there. The preheat loop would have to survive regular heating element temperatures, and most common refrigerants decompose above 500C.
When I was growing up I lived in a suburban American house that was built in 1982 and had a heat pump. It was a middle class suburb and none of the adults were environmental activists. Every house in the neighborhood had a heat pump. I thought this was totally normal.
With hindsight, I see that there was significantly more American concern about energy efficiency in the late 1970s and early 1980s than in the early 1990s, probably due to resumption of relatively low oil prices in the mid 1980s. It's sad that the attention to efficiency did not continue after the immediate crisis had passed.
None of the above problems are inherent in energy efficiency, but they did give the whole field a bad name.
The problem is that heat pump based heaters and cooling devices are still produced, marketed, and priced for the green and well off crowd, not the general public.
In the general public has no concept that the same technology they use for cooling could be used to heat their homes.
So far the manufacturers of heat pumps seem content with their well-off niche, and don't seem interested in scaling production so that the technology is available to regular folks.
Perhaps the margins on heat pumps aren't as good and they don't want to cannibalize their existing businesses selling natural gas powered heating systems, which they probably manufacture for a song (recall how Carrier ended up moving their home furnace production to Mexico anyway despite the political show that was made of them supposedly staying in Indiana)
In other parts of the world many split heat pump systems are much cheaper.