I'm using the AIVS system with no distilled or ultra-pure water rinse.
After reading some posts on the Vinyl Asylum from individuals stating that they were getting "foaming" when doing a rinse after using the cleaner solution I got concerned. You certainly don't want any residue remaining on the record.
I've repeatedly tried a ultra-pure water rinse with a fresh brush following the cleaner step and not once have I gotten any foam or indication that there is any residue remaining on the vinyl. One thing I am doing is vacuuming a LOT - 6-8 revolutions on the VPI. I'm finding that if I only do 2-3 revolutions that there is still fluid remaining on the vinyl.