Distribution tumbles have absolutely nil to no effect on water retention of fabrics. Their purpose is to get wash broken up evenly so water drains faster, and to make spinning a bit easier (no big knots of wash). Other than that things tumbling to and fro for five, six, ten or whatever minutes will be just as wet as they where after final rinse.
There are two basic ways of doing laundry; either you shift the water, or you shift the wash.
Early washing by hand, semi-automatic or in case of commercial "washers" (but not extractors), did the latter. At end of things you had to remove wash and put it either through a mangle or into an extractor. That or wrung things out by hand. Either way it was laborous, hard, work and often left wash area with wet (and dangerous) floors.
Second method is what came in after fully automatic washer/extractors arrived. The machine does both functions of cleaning and removing water.
Braun was first to offer washer/extractors to commercial laundries (IIRC), and one of their selling points was that it reduced labor and equipment costs. But also promoted safety as put an end to sopping wet floors.
Early twin tub washers (Easy, GE and others offered them), weren't a huge success . This even though spinning removed more water than best power wringers (mangling equals about 230 rpms), so American housewives stuck with wringer washers (for many reasons) until post WWII when fully automatics began taking over.
There is no benefit to taking things sopping wet out of wash and hanging or whatever to "drip dry". Well maybe for synthetic fabrics which are hydrophopic and thus don't absorb much water anyway, but for everything else...
Extraction either by spinning, wringing, mangling is the second part of cleaning wash. It forces out muck, soils, soap/detergent, etc... giving a better result.
Early washers both commercial and domestic that didn't spin between rinses used far more water because more rinse cycles were needed to dilute and flush out things. Machines that only washed presumed things were going to be extracted some how elsewhere.
One reason spin dryers never really took hold in USA was American housewives went from wringer washers to fully automatics. Aside from things like Hoover twin tubs no one bothered with hauling wet laundry to a different machine to remove water. If people wanted to do that they would have remained with mangles.
Have done a fair amount of hand wash loads when there isn't enough to warrant using Miele or other washers. And am here to tell you jeans, bed linens, clothing, etc... are heavy when sopping wet. You won't be hanging them to dry on anything but the strongest contraptions because weight if just a few items will cause lines to sag if not collapse.
Also when said sopping wet laundry is bunged into spin dryer you can see how much muck/residue was still trapped in wash. This even after two, three or four deep tub rinses and water was dripping away clear.