Whether an air-to-water heat pump + controlled residential ventilation system makes economic sense or not, I cannot yet conclusively assess.
Well, maybe it can be explained like this. Air-to-water heat pump + controlled residential ventilation with the intention to cool is like watering a football field with a watering can. Sure, it is possible and somehow makes sense — you save yourself the water pipes and sprinklers and the amount of water will also be lower because you simply can’t deliver the quantities in time like with an irrigation system. So, everything basically sounds great, right? Lower investment, lower operating costs, and somehow the grass still turns green, right? Sounds like an economical system. But precisely because you can’t supply the necessary quantities of water, a nice carpet of lawn will sooner or later become a patchy meadow. Watering a strawberry bed with a watering can, on the other hand, is completely fine and makes sense. The same applies here, because the necessary air volumes cannot be achieved due to design-related limitations, it is a drop in the ocean.
Functionally, it made sense to us.
More than a somewhat smarter control of the systems (single-family house) so that they work together a bit better and don’t work against each other is usually not necessary/possible.