All that effort to wash with soap!
In the immortal words of Shakespeare, "bugger that!"
Rinsing in the washtub of a Hoover is a pain, as the tub takes 8.5 UK gallons of water (about 10.25 US gallons), and takes an age to fill - with my low pressure hot water, about 10 minutes to fill the tub with hot, so I reckon I'll give this a miss! I used to use a Hoover wringer washer, and rinsing in the tub took forever, although you also had the hassle of feeding all the laundry through the wringer too. Incidentally a booklet I have from 1953 about the Hoover wringer washer suggests two hand rinses in the sink for small items, and rinses in the tub for items ilke blankets.
Mickey, some of the early Hoover TTs and all the wringer machines emptied via a pump driven by the wash motor, so the activator ran as the machine emptied. Made the mistake once of running my wringer machine on empty with the lid off, and as you say, it's great for drenching everything!
Guy, as Laundress says, the wash water can be reused - most folks return the suds to the washtub during the first spin to reuse it. Instructions suggest the water can be used for up to three loads, but I tend to do four or five, as nowadays we wear our clothes for a shorter time than we would have in the 1950s or 60s, so soiling tends to only be light.