I have not used kalk in a long time, so some of this is old and some of it is just what I have heard and read...
Kalk does contain impurities. If you mix it and use the clear part and leave the bottom behind, this takes care of most of the impurities. If you add the whole mix, then the impurities enter the tank.
Kalk can bind with some phosphate when in the high pH form to make calcium phosphate which are insoluble at normal tank pH.
While this might be true, there are plenty of things that we use that add impurities, like fish food. Who knows what is in that supplement bottle that people dose - it isn't like reef manufacturers have a track record of being honest or using pure products. Typical export can keep these at reasonable (or zero) levels. I would not be afraid of kalk if you are doing a regular maintenance routine that includes a few different kinds of export including protein skimming and water changes.
I would have to know a lot more about these tanks to know how a pH drop released a bunch of phosphates that kalk is responsible for. ...or even how they had a huge pH drop in the first place. Unless you are adding an acid, then any pH drop is from higher co2 in the room being added into the water again by normal processes (skimmer, surface, etc) bringing the tank pH to where it would have been had you not driven off co2 with the kalk. This is not a pH drop as much as the tank going back to a normal pH.
Dr. RHF is a pro on kalk - I am sure that he will chime in soon.