Modern fabrics (in particular poly/cotton blends) coupled with spread of tumble dryers killed off need for ironing period, much less ironers.
The things were fine enough when one had baskets full of wash to iron, but once standards dropped and or all that work wasn't necessary ironers and presses began falling out of favor quite quickly.
I like busy work much as the next vintage appliance aficionado, but draw the line at ironing knickers, drawers, brassieres etc... by hand or machine.
Shirts and other apparel can be done on an Ironrite or other rotary irons, but takes practice and skill. By 1950's into 1960's only thing usually routinely ironed in households were men's dress shirts, they got sent out to laundry so that was that. Indeed for homes that still clung to old ways and wanted ironed bed and table linen most just sent things out. It was cheaper, work better and less bother.
Between about 1964 and 1975 USA lost over 50% of "industrial" laundries. These were places so called "steam laundries" or whatever that did family wash, shirts, linens, etc... Where did those customers go? Most turned to doing wash at home thanks to spread of automatic washers and dryers (with few household bothering with ironing of any sort), rest went to coin laundromats.
This is what helped do ironing and ironers in: