Dear Owen,
Hope you're well and stay so. This problem likely is electrical and has to do with the fuel supply or spark. An item, at the end of its service life, heats-up. That breaks a connection. Until the item cools - restoring the circuit - the engine won't start.
Over time, soldered joints can develop micro-cracks. Years of heating and cooling - and expansion and contraction of the solder - break the connection. These micro-cracks are far too small to be seen with an unaided eye, but suffice to disrupt a circuit.
When were the following replaced: (a) fuel pump relay; (b) crank position sensor; (c) ignition amplifier?
Hope this helps.
Yours faithfully,
Spook
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