I would say just to not get ASD onto the microfiber! It is nasty stuff and resistant to water and soap.
I keep a roll of "public bathroom" style drying paper for your hands, and have used it for ASD, but I tend to just use junk MF more than anything else. Paper has a tendency to break up if the surface is not smooth enough. Still, I have to admit I should just use a few more sheets of paper. What I end up doing is not wiping after ASD at all
The ASD will definitely leave drips, and the stuff is a little viscous so you can't just crack open the sprayer head and get a little ASD flow. Further, too fine a mist and it just floats in the air all over the car. I will run the spray head more open than say APC or Degreaser, both to shoot ASD farther and to minimize overspray.
But it is more lasting than HD by far.
The ASD leaves a lingering smell I can't shake, and it lasts forever (durability!). So I spray outside the garage or clean the floor afterwards (ASD is very slippery and tends to stick to concrete, and will stain it). FK1 #1119 also has a smell I can't take much of. I have stopped to clean off bottles and totes, and thrown away the MF just to not have to smell it in the truck the whole way home.
So for summer time on my nice (and almost all clients') cars I prefer HD since it is water based, less messy, less smelly. But for winter, nothing beats ASD. I drench the truck's undercarrige during the last detail of the fall, and engine bay. Bare Bones has a less strong smell IMO, much more tolerable (but still a strong smell). The ASD seems to trump BB in shine, though. The BB is more matte. We have just started to get into our bottle of BB. We had 3 gallons of ASD to use up first (bought one, loved it and though I would use much more, bought 2 more gallons, got sick of it), but I like the BB mucho.