Lemishine worked wonders on my sister's machine. She has super hard water.
My Thermador's cleaning instructions employ a two-step process:
Allow machine to fill, then add one cup of bleach and run through that phase of the cycle. After it drains and re-fills, add two cups vinegar, then let the entire cycle complete through the remaining rinses.
I used this method when I first got the machine installed since it hadn't operated for quite some time, and it has been turning out sparkling glassware for me ever since. I used it again just recently after a crazy person houseguest allowed regular dish soap to mix in with the detergent, which resulted in a baked-on white film on everything. One cleaning treatment and my glasses were sparkling again.
When I first moved in here and the Maytag that had sat nearly dormant for over a year was leaving film on everything, I used only vinegar. It may have helped clean the machine, but it didn't improve its performance. Just using it over and over eventually allowed it to find its groove again, and it was doing a fine (if not deafening) job within a few loads' time.
If your KA is doing a good job on the dishes, I don't think a cleaning treatment would be necessary, unless you have very hard water.
Ralph