The fuel pump relay wiring described above seems odd to me.
Typically, the fuel pump wiring high side gets battery+ from a wire with an inline fusible link or a fuse that eventually is connected to the Battery + terminal.
The computer supplies a battery + signal to the fuel pump relay low side, with the other low side terminal connected to ground. When the fuel pump relay high side contacts close Battery + is sent to the fuel pump.
Typically, the oil pressure switch wiring gets battery+ from a wire with an inline fusible link or a fuse that eventually is connected to the Battery + terminal.
Typically 5 PSI of oil pressure closes the oil pressure switch to send Battery + to the fuel pump.
Typically the oil pressure switch fuel pump wire and fuel pump relay fuel pump wire are spliced together so either the fuel pump relay and / or oil pressure switch will supply Battery + to the fuel pump.
Typically ECM Terminal B2 is spliced into the wire that sends Battery + to the fuel pump.
Possibly the wiring diagram shown below is helpful.
Fuel Pump Relay.JPG
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