I would also view the idea of doing it via the heat pump rather critically. Especially when operating in colder environments, you need the integrated heating element to compensate for the heat loss. Otherwise, the water gets cold very quickly and the fun is prematurely over. Moreover, you have to consider the additional investment; a corresponding heat exchanger already costs 500€ in materials, plus piping, labor, a larger heat pump ... that noticeably costs four figures, and for that, you can already heat the whirlpool "conventionally" for quite a while.
Regarding filtration, does it actually still run with chlorine? I have already seen many products with ozone/UV?
I would also like to have a whirlpool. What bothers me is the thought of using about as much electricity for the whirlpool as for heating the entire house...