No [1], that's not the case. Even while we own more clothing and wash it more often, it still takes less time. You can also do other tasks while a washing machine is running.
[1]https://quod.lib.umich.edu/m/mfr/4919087.0011.104/--deconstr...
[1]https://quod.lib.umich.edu/m/mfr/4919087.0011.104/--deconstr...
> Although the physical labor of laundry was lessened somewhat by the machines, the actual time housewives allocated to their family laundry increased.
(This is claimed to be the result of housewives being responsible for the entirety of laundry, instead of employing help, however.)