Bob -
You're absolutely right...I hadn't noticed the temp differences, and I have one of these I can look at if I wanted to - too funny. You can clearly see on the temp section that it is bracketed into air, low heat, and high heat. Its good to know there were some differences with the Lady K.
I'll have to look further for a washer that might match this dryer. I am thinking I have seen one or two of these also now, but they never made an etching on my memory. There were four 1983 80-series machines, and all had the infinite water level, and the auto temp control, but three use the same panel, which is meant to go with the chrome knobs, and the fourth uses a Lady K like panel with the cycle modifier and a second rinse, and it too uses the chrome knobs. I'll look more closely in the 1981 and 1982 models. Did the washer have all these pointy knobs too, and the inset in the front of the panel? If so, it would be easy to detect in part drawings.
I have one of those dryers you don't like, bought it new in fact, but the heat settings have never bothered me. I have used the Knit/Delicate cycle maybe 20 times in 26 years, mostly for drying rubber backed rugs, but I will admit to using it more often since finding AW.org. I had only started using laundry appliances when my Mom got rid of her 1961 Kenmore 70 dryer (which had a 6 position heat switch --- I think it was usually left on medium or Perm Press nearly all the time) and bought the 1972 Kenmore dryer which we had for 11 years. That dryer had no heat selections at all, however the catalogs claim this model and several others better had variable heat which the dryer adjusted as clothes dried, so no user adjustments were necessary. I did not know this at the time. Mom's current dryer has the timer set heats as well, so when I bought mine, it was no different. I wanted the model under mine with a single temp anyway... As I said in the past, I'm probably the perfect customer to have bought the one knob wonder BOL models.
Gordon