Just thinking here... If you are going to do multiple steps, why not START with the ultra-sonic, to remove crap from the grooves you might otherwise grind in with a scrubbing sequence, no matter how gentle. I'd prefer the only thing dragging through the grooves is the stylus. I have found many of my new better pressings come out just fine with a 4 or 5 minute trip through the KLaudio. (I only dry for 2 minutes, seems enough to get 'er done. YMMV)
Does anyone notice any gunk accumulating on their stylus after cleaning with either the AD or KLaudio? It's a bit more with the Atlas that doubles as a groove cleaner compared to other cartridges I've used.