When you first key up, the fuel pump comes on and runs for a few seconds, then does not run until the cranking engine builds enough oil pressure to close the oil pressure switch.
I would install the pressure gauge, monitor fuel pressure not running, key on only, when cranking and while running. The spec is 60 to 65 psi but I've know several start/run with lower pressure. Make sure you are getting the prime stage(you should hear the pump run). Qualify the relay. You can swap it with another in fuse box. The thing about them spider pipes are the initial fuel pressure to start, once running it is not quite important. You can disconnect the vacuum line to the regulator while running and should see a increase in fuel pressure. If you snap the throttle the fuel pressure should increase then settle back.
As stated earlier, double cycling the key aids in the initial fuel pressure, the fuel pressure gauge should show if that is working.