Bear in mind that replenishment via an ato will vary from season to season. If you have room, I would recommend a separate container for kalk and dose it. I make saturated kalk, stir, then don't touch. It isn't sealed... Research suggests it will stay close to saturation without stiring provided the crust on top of the water is not broken. Then I dose about 3/4 of what my evaporation rate is. My ATO fills the rest on an as needed basis. This way you can much more precisely calculate how much alk/ca is going into the tank. If you have a well stocked tank with normalish water evaporation, then kalk in the ATO is probably not enough.
kalk/ dosing two part, calcium reactor...it is just another way to add ca/alk. For what its worth, there are a ton of articles on this topic.