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*IMO* BHBs aren't all that compatible with ONR-type washes. I've used BHBs with ONR a few times on the body of vehicles, and numerous times on wheels, and it just seemed like the wrong wash medium for that approach. OK for wheels on beaters (primarily because I only need one since the BHB will rinse clean, albeit with considerable effort) but not OK for washing the vehicle proper. Even on the wheels, I do a follow-up with a MF.
Used with ONR, the bristles seemed prone to cluming together (there's not enough liguid for the bristles to "float apart" freely), resulting in gaps between the clumps of bristles that left residual dirt; applying more pressure would correct that, but at the risk of marring. The more continuous surface of a MF or sheepskin allows more complete contact with the surface being cleaned than the clumps of bristles.
The minimal pressure required to use a BHB properly was often insufficient to result in dirt being cleaned off the vehcile and transferred to the brush (you do *NOT* want to apply enough pressure to bend the bristles of the brush over), I had to go over and over the same area numerous times and stopping to rinse out the BHB between each pass would've taken forever. OK for certain wheels (just go over them again and again, or even apply more pressure and hope there's no severe marring), not OK for the body of a car.
IMO the primary benefits of BHBs are the way they behave when used with *LOTS* of wash solution, in a "flooding" type of situation where dirt is dislodged and flushed away. This works well because the BHBs rinse clean *while* the washing is going on, whereas ONR works because the (hopefully encapsulated) dirt transfers to the wash medium, and sticks to it until rinsed out. The way I use BHBs, there's none of that sticking; my rinse water stays nice and clean no matter how dirty the vehicle is.
While I'm not much of an ONR user, when I *do* use it, it's with MFs or sheepskin. The resident ONR expert here is proably Scottwax, and IIRC he uses MF-covered sponges.
As for the CD-test (and I'm glad to hear you did that before using it on your vehicle!), did you test it dry or wet with wash solution? While SuperBee364 has tested his Montana brand BHBs dry (and they passed), I always test BHBs *wet* because of the way they soften up so much once they've been soaked in liquid for a while.
No idea about the frozen ONR, but I'd be surprised if it was damaged.