Merino wool against the skin, maybe a baby-wipe bath on the 3rd day, and a hot shower at a truck stop before driving/flying the long trip home - I usually go 5-12 days up mountain without showering. I have a shower kit for my gravity camp filter bag, but I don’t mess around with it. It’s simply not worth 1) hauling extra crap up mountain, be it the shower kit, anything to dry with, or extra clothes to change into after, and 2) not worth the risk of getting wet, even in hot water, in the cold.
Pleasure campers which truck camp might use a hot shower system, and I have used a few for such. But backcountry hunters hauling their next week’s livelihood on their back typically don’t have use for it.