Once war effort began in earnest
Servants of all sorts often became difficult to find. War work opened up tons of jobs for women. Far more exciting going to work in a factory or something than cleaning someone's home.
Women also were joining WACS, WAVES, and other forces, nursing corps, etc...
Men of course were either being drafted or signed up.
Actually WWII time was one of last big hey days for laundry services. With so many women working outside the home, servants (including laundresses), hard to find, and new (or old) washing machines, ditto, sending things out to laundry seemed easiest option.
Feminists often complain that post WWII boom years that saw huge push of women to return back into homes, also saddled them again with laundry duty. Sure all the new automatic washing machines, tumble dryers, and even ironers made job easier than say using wringer washer, but they didn't load and unload themselves.
Maytag and other manufacturers ran adverts for duration of WWII and bit after telling housewives and others they should be "patient" waiting for new washers to be available. This and via adverts and other means those with washing machines (along with other appliances) were asked (or told) to take care of what they had to keep it going for duration.
https://www.ebay.com/itm/223465058975?hash=item34078e329f:g:0sQAAOSw9GhYmiAN
https://www.ebay.com/itm/363643147500?hash=item54aad214ec:g:UbcAAOSwN35c1QO3
Thing also to remember is while majority of homes wired for electricity by 1941 had some sort of washing machine, there were still many areas of USA that were off grid so to speak. Many didn't have indoor plumbing, central heating/hot water, and rest of what was needed for an automatic washing machine. That would have depressed sales. Semi automatics could be another matter.
It wouldn't be until the major infrastructure build out of post WWII era that electricity came to many rural areas of country.
Other worry for automatics was the housing shortage, and fact many lived in urban areas in multifamily housing. The post WWII rush to suburbs with new homes that had all mod cons was a boon for appliance sales.
Maytag's first automatic washing machine was launched in 1949.
Whirlpool (then still 1900 Corporation) launched their first fully automatic washing machine in 1948.
https://www.whirlpoolcorp.com/wp-content/uploads/history_100years_factsheet.pdf
General Electric came out with AW6, their first fully automatic washing machine in 1947.
https://www.automaticwasher.org/cgi-bin/TD/TD-VIEWTHREAD.cgi?4484
So we see none of the "big three" had fully automatic washing machines prior to WWII.
Bendix started selling their fully automatic washer in 1937, but by 1941 they were only in < 2% of American homes.
https://evolutionhomeappliances.weebly.com/washing-machines-mid-20th-century-automatic.html