There's another type of home dialysis. I knew someone who was on it. He had crates and crates of bags of fluid, which he'd pour in via a fistula, and then leave it in for a while, maybe a half hour or an hour, I forget exactly how long, and then he'd drain it out. He did that a couple of times a day, as I recall. No machines involved, just those bags, and some disinfectant (and anticoagulant?) he'd apply to the fitting before sticking it into his gut. (Not actually into the gut, but into the abdominal cavity.)
Basically, as I understand it, it just washes your internal organs, and drains away the impurities via osmosis or somesuch. The main thing is that unlike "real" dialysis, it's not rigged up to the blood system. It just goes into the abdominal cavity, rinses, then drains. Very simple "science", and the "magic" is in the stuff they put in the liquid (that gets your organs to offload the impurities via their surface).
The only considerations (apart from having to lay around a couple times a day while "bagging") was the need to maintain absolute sterile conditions vis-a-vis the fistula. The guy would come down with peritonitis every so often and need to be raced to the hospital. I guess it's possible that OBL maintains cleaner conditions, but not too likely IMO. Maybe he's hauling large amounts of heavy duty IV antibiotics with him too.
Anyway, the point is, you can be "mobile" (not tethered to a machine, or need any electricity) and still be on dialysis.