I have actually done a six-week block of 044 with double jerk - 2x18kg (1/2 BW). I usually did 5/4, which was one clean then five jerks. Sometimes I did 10/2. It was a lot of fun. I got great at jerks. More speed (you can do 5 jerks in less than 15 sec, the original time parameters of the program), more endurance, I felt great, and I think my conditioning got better. I had difficulty adding other lifts as assistance, though, so I was mostly doing jerks. Fatigue after jerks made the session made more lifts harder. My conditioning is better now, but I also don't use HS jerk technique anymore.
I have moved away from doing hardstyle jerks, because IMO the GS rack and jerk is far far more comfortable and makes more sense for long jerk sets. I realize that my own training is something if a hybrid--I've been a HS practitioner, but I recently switched to primarily GS, since jerk and LC are my jam.
My problem I ran into with doing 044 was that I felt like I was using bells too light for effective results of HS programming (which was true) in a closer-to-GS manner of training (in which min on/min off intervals are common--not too different from doing QnD, but less staggered). Things is with jerks, like every other lift with kettlebells, is that if you want to jerk a lot, you must jerk a lot. That's why GS training uses such high volume with lighter weight, as opposed to lower volume with higher weight.
So, IMHO, use HS snatch or swing for QnD, do HS higher-weight C&J for low volume (the BJJ plan), or lighter weight for looong sets and high volume (GS approach, GS technique).