lots of things are in the fuel solenoid system, as you can see in these two drawings (old version stops at tractor serial number 105,92)
I have a PDF of the tech manual that you are welcome to before you keep throwing money at it!, if wanted, send me your email and it's on the way.
I'll message you my
Then it must have a low voltage control relay that has done went bad. Your low strength ignition signal goes to a relay that has the high strength. Your ignition signal makes the relay close and pull solenoid open. So, something has a bad connection or something has gotten weak in that circuit. I have seen those get burn spots inside that will cause a poor function condition. If they are big enough I will take apart and fix. The big 300 to 400 dollar ones I do take apart, so far, fixed every one of them. Trac hoes and dozers have big bell relays. But, yours could be too, I don't know.
You are correct!