I read it years ago, maybe when I was in the SCA. Sorry if I don’t remember the title of the work.
I also read about public baths after I visited the ones in Bath, England, in 1976.
I wonder if you have any idea how difficult it is for country folk to wash and keep clean. I learned that when I was doing Living History in the '80s. Hauling water home and heating it to produce wash water is a lot of work that would burn up sunlight needed for other things. They may have washed their faces and hands regularly, but they certainly didn’t bathe often.
Neither did the nobility, who stunk so badly they had to cover their BO with powders and perfume while combing the lice out of their hair. They would have smelled even worse if they hadn’t had servants to scrub their butts after they took a crap.
Why do you think the bidet was invented and is still in use today?