I'm a dealer tech, so I have access to Toyota's Technical Insofmation System (TIS). The signal generator specs change from year to year- I compared it to my 91 TSRM and they are differant. my 91:205-255ohms, your 1992:185-265ohms. I would guess that cygnus has an older vehicle on file, thus the inconsistancy. Toyota tries to give its technicians the best/most acurate info possible, but the techs have to know what they're looking for in order to find it- an area that many dealers struggle with when dealing with these old cars. Most guys don't like diagnosing (or even working on) old cars because it's hard work and can be extremely frustrating.
And yes, there are 2 sensors for the EFI and cold-start systems. If the cold-start timer switch fails, the car will be rather hard to start when it's cold but easy when it's warm, just like Tajabaho1 was describing. I had it happen on my 89 MR2 and it sucked to start in the winter, not too bad in the summer. That would not cause a hot-start/heatsoak problem though.
If the readings you got from your CPS are accurate I would very strongly suspect the CPS. When the pickup coils get warm/hot, their resistance goes up. So if they are already high in resistance, I wouldn't be surprised if the resistance skyrocketed after you run the car and then shut it down. (engine heat starts making its way into those coils aka Heatsoak). Then you go to start, there is too much resistance to create a clean signal and send it to the computer. Make sure those readings you have are accurate, it's a spendy part to "throw" at the car. Good luck!
Edit: make sure you wiggle the cps wires (as Jdub suggested), but do it as you test the resistance of the pickup coils. If the wires get corroded or break that can also lead to strange issues. If that is an issue, the resistance will change as you move them around.