I have had a Kirmuss machine for 5 years. I have found the best way to use it is to use it like every other ultrasonic cleaner. Run it through the 5 minute cycle and then dry it. I forget about all of the other steps. I use a vacuum machine to dry the record as it is quick and thorough.
There is no way any additional stuff should build up on your stylus after cleaning the record. In cases where the record is in particularly bad condition, perhaps with mold or something, I have found that cleaning the record once, then playing it, then cleaning it again gives good results.
Playing a record, especially with a line contact stylus that gets deeper into the groove than a conical stylus, can be part of the cleaning process.