The Audio Desk is more mechanical in nature. It has it's share of detractors. I'm sure that mine will fail at some point. I am still a proponent of steaming as the first step in my own regimen. (I use the enzymatic Audio Intelligent solution as a pre-cleaning agent before I steam.) This allows me to keep the water in my AD cleaner, longer. Steaming does, by it's very nature, introduce the heat that you say is best for good cleaning. My regimen is labor intensive but I'm OK with that. Also, one of the positive effects of US cleaning is that the cleaned lp, has no static charge.
( A valid point to my steaming first, even though I have an AD cleaner... just today, I was playing a lp that I had previously cleaned without steaming years ago and ran in through the AD. It had quite a few ticks and pops. I put it through my AI/steaming regimen, then through a 5 minute AD cleaning. The end result was a quiet lp. This is why I'll always keep steaming in my personal regimen.)
(To put an US cleaned lp through a vacuum drying, seems somewhat counter-productive. But there are always trade-offs.)
I can see how I can convert my AD cleaner to include your filter/pump. Later on, when my AD fails, I'll have that portion to mate with an US cleaner/spinner.