I'm very curious about this too. I am going to posit a follow up to this because just based on anecdotal evidence having lived in three different countries (US, IL, and CZ), it seems to be very different in each country even to this day.

So my follow up, why are there big differences to the acceptance of washing and (especially) drying machines throughout the world? Are there particular conditions that led to their widespread acceptance in the US but not so much in other countries?

There was a brief flurry of reality TV shows that put people into historical settings and asked them to live- "1900 House", etc. Universally, the task of laundry seems to have been the biggest shock. You can also ask staff at places like Old Sturbridge Village: standing by cauldrons of boiling water all day and scrubbing clothes with washboards and lye soap is miserable work. The only way to explain why it persisted so long, when labor-saving devices had been created for people like farmers, was that no one thought it important to save women's time and labor. Except the Shakers, who created the first mechanized laundry because women had an equal role in their communities.

However, washers and dryers in the US also owe their appearance somewhat to rural electrification. Although there were small gas-engine powered washers, it's not until you get people using electric motors that washers spread into the country. And dryers, that used electricity for just heat, came even later.