PSC motors have very low starting torque. Most of the older top loaders with hefty transmissions required a motor with a high starting torque. A simple, cheap and reliable PSC motor would have stalled every time, they are just not up to the task.
Some time in the 1980s, cheap and reliable Japanese washers started to take a huge hold here in Australia. The existing Aussie made machines were heavier built but much more expensive to manufacture. They used US technology - Belt drive Whirlpools same as US versions; GE filter Flows similar to US models; Hoover TLs were Blackstone design; Simpsons were their own transmission but similar to Maytag. All used heavy induction motors with a separate start winding.
After the Japanese "invasion" with cheaper, more reliable machines in the 1970s, the Aussie brands retaliated by either rebadging Japanese machines with Aussie brands, or creating Aussie engineered copies of Japanese style machines, all with cheap, lightweight PSC motors. Ironically neither the Hoover nor the Simpson designed machines were as reliable as the Japanese machines they copied. But the Hoovers in particular washed really well. (Hoover Premier, Simpson Aquarius, Contessa and Delta.) Like the Japanese machines, they had no reciprocating transmission, just a simple reduction gear, and the motor had to reverse every few second to agitate. This was easily done with a PSC motor, a motor with a start winding would have overheated with the constant restarting.
Each motor suits a particular application.