Oooooo...! A question I can answer!
The thermister is located on the back of the fuse panel. It's a tiny little thing that costs about $3 & takes about 2 minutes to change (after you take about 2 hours getting to it

) Once you unbolt the fuse panel, you should have
just enough room & slack to turn it so you can see the thermister (it's about half the size of a dime with 2 wires, tucked in with the wires).
I had an occasional "no-start" condition on my 4400 late last year that turned into a constant no-start, so I started changing things in the spring: First was the fuel pump start solenoid ($$$$!), then battery cables (old ones were getting crabby), then I went through the ignition switch & solenoid electrical functions (the service manual is severely lacking in this particular case) & finally arrived at the thermister. Once that was changed, it has started
immediately every time it is called on. I didn't even have to start it to know it was fixed, though. With the new solenoid on the pump, just turning the ignition on resulted in a pronounced "KLACK" of the solenoid being retracted.
Trouble-shoot like this: Unbolt the bracket behind the solenoid on the rear of the fuel pump (fuel line passes through it, gives room for ratchet & extension) & let it hang. Remove the solenoid from the back of the HP pump (be aware it will likely have some oil in it) & turn the ignition switch on. The soleniod pin should retract. If it doesn't retract, it's pointing toward the thermister being bad. Now, try to start the engine. If it fires right up, it's probably the thermister causing the hard start (although it
could be the solenoid). If it doesn't start immediately, your problem is elsewhere. To stop engine (if/when it starts with solenoid removed) just push the lever in the HP fuel pump where the solenoid was with you finger until engine stops completely (this shuts the fuel off).