Because cold water isn't free. If you want to create something cold, you want to be using a conpressor and at that point, you can just skip the water step and use an AC.
Yeah, if you want a single system for heating and cooling, you'd be better off getting a heat pump. It's the most energy efficient thing for both anyway, from what I've been told.
It’s the most energy efficient because you’re not using the power to produce heat; You’re just moving heat from A to B. Imagine a heating coil that is 100% efficient. For every watt of power you put in, you get one watt of heat. Now imagine being able to move heat from outside instead. For every one watt you put into the system, you can move two watts of heat into the room. It’s not using the energy to create heat, so it can actually be more efficient than something that is made to produce heat.
The issue with heat pumps is that they need latent heat to actually be able to pump heat around. As temperatures get lower and lower outside, they become less efficient at heating your house because there is less heat outside to pump into your house. At a certain point, it becomes more efficient to just use the power to directly produce heat, instead of trying to pump it around.
Most of the world doesn’t ever need to worry about that, but it can be a consideration in particularly cold areas. The tipping point for efficiency is usually around 0-10°F, so it’s not something that equatorial areas need to worry about. But up north, it becomes more and more of a consideration.
Some newer ones can operate down to -22F. I'm in a place that hits those kind of of temps so I'd want a wood stove as a backup. I guess a ground source heat pump might be a better fit around here.
For what it’s worth, heat pump manufacturers know this, and usually include a way to generate heat. My parents use a heat pump system, and it has a radiator that only turns on when the outside temperature drops below whatever the efficiency threshold is. Radiators are cheap and easy to build, so they’re not difficult to include in an existing heat pump setup.