I have been using a kalk stirrer for well over a year at this point.. it was probably the best decision ive made when it comes to the dosing application of kalk.
So my stirrer is ran by my apex and comes on for 15 minutes every 2 hours. If the ph reading of my kalk solution falls below 12 it turns on regardless of the schedule until it reaches 12.3 and goes back to its regular schedule. As far as how im dosing, I am currently at 7000mL a day that my apex splits up into 58mL's every 10 or so minutes. Now this will dose whether its stirring or not because in mine you can clearly see that the mixing cloudy solution does not make it to the top where the water dumps into the sump (its still clear but mixed). Now I have my trident running testing alk, cal, and mag every 4 hrs and i setup pre set limits for my kalk. Here's a picture of those limits
So if any of these limits are exceeded then the dosing of kalk stops until the next testing cycle. But based on how many corals i have my limits are very rarely reached. And the kalk dumps in the sump and clears before it ever hits the return pump. My 2 pennies, hope it helps