Distilled water is certainly cheap enough in the States to enable you to change out the water constantly, but you’d probably have to clean the inner walls of that container (and Lord knows what the innards involve in terms of removing any surfactant traces from the inside of the machine itself).
Bill Hart's note raises a legitimate issue that is rarely discussed: cleaning tank cleanliness. None of the push button desktop machines (AudioDesk, Degritter, KLAudio, etc.) have accessible interiors other than through the record slot at the top. Even after a short period of use, say a couple months, sticking a clean cloth or even some paper towels into the interior of a closed desktop machine reveals accumulated gunk, a composite of dirt from records and cleaning fluid residue built up over time. Small filters mitigate this somewhat but the accumulation still occurs. Many of the interior parts are not accessible. Switching out wash water for clean water, particularly distilled water, can, at least in theory absorb minerals from a dirty interior along with whatever residue disolves into it. Without some method to clean them the interior of closed desktop machines only get dirtier.
DIY ultrasonic machines typically have stainless steel interiors that are open. Better ss tanks have rounded bottom corners. These are easy to clean compared to the mostly closed compartments of the desktop units.
With regard to horizontal machines (Monks, VPI, Loricraft, etc) these are vacuums, they rotate the record and suck off clearnng fluid but they do no cleaning themselves. Cleaning comes from cleaning fluids. I used AIVS fluids with my Loricraft PRC-3. Experiments suggest that scrubbing with a brush can do more harm than good. My approach is to lightly agitate the cleaning fluid with a brush to keep released residue suspended in the cleaning fluid. It takes time for cleaning fluid to do its work, anywhere from 3 to 20 minutes and the record should remain covered in fluid until it is vacuumed off and the record rinsed.