Asking for a friend... if he happened to get his 12volts from the cold timing advance, would he have the same issue once the engine is warm? Loosing the 12 volts to his pump? Lol "friend" might or might not be me.
Your "friend" would be walking.I hope he has a good set of shoes.
If you look at that schematic,you'll see the Red/LG (red wire with a light green stripe is what that means) going to the cold advance solenoid,comes from the FSS so that and the cold idle solenoid all share the same issue,they are run on the same wire which is passing through a bad fusible link (fuse like V)
However,if you want to just rob Peter to pay Paul,notice there is another fusible link of the same gauge right there (fuse link U),which protects the fuel heating element in the filter.
Well who needs that down in Alabama? Not you lol.Odds are high,that element burnt out years ago and no longer works anyway.
So look at the fusible link with the DB (dark blue) wire hooked to it.Trace it down a few inches and snip it! Now do the same with the Red wire with green stripe and trace that one out a few inches and snip it!
Remove the bad fusible link with the red/lg tail and toss it.Hook up the red/lg wire going to your FSS to the short tail/fusible link side of the blue wire (never mind the side going to the filter,it's dead now) and Bobs your uncle.If you do this,don't leave the filter heater hooked up too.You'll probably burn out that fusible link with too much draw too,if the element does still work.
Or just replace it for a few bucks
https://www.amazon.com/Pico-5557PT-Universal-Gauge-Fusible/dp/B00030CZV4
I'd use the one for the fuel heater and keep your $.