The oldest Unimacs used the Maytag Gyrator in them, then they used the Whirlpool Surgilator. Each washer tub uses a wringer washer transmission. I think it would be a fun way to wash.
At the 1939 World's Fair, each of the big appliance manufacturers had a Home of Tomorrow. The Westinghouse home had a laundry that did not anticipate automatic washers, but was pretty neat. It had a triangular cabinet with three agitator tubs and a spinner basket in the middle. Essentially it was a more mechanized wringer washer configuration; washing in one tub, extracting, agitated first rinse, extracting, agitated second rinse and final extraction. It was probably fast, but would take a whole lot of work on the user's part. I don't know how easy it would be to be pulling dripping clothes out of the tubs and sliding them to the spinner then lifting them out of the spinner back into the agitator tubs. Unless you let things wash (or put them in to rub as my grandmother would say) for a long time, I do not see how one person could both wash and put the laundry on the line, load by load. I would not want to think about hanging several loads all at once. It would kill the shoulders.