If the fuel pump relay works properly, and the part of the oil pressure switch that runs the fuel pump fails, you'll never know the difference. Engine will start and run just fine.I'm a bit confused ... so can either one independently power the fuel pump? Or does power need to go through both the relay and oil pressure switch, before operating the fuel pump?
If the fuel pump relay fails, but the oil pressure switch works, the engine will start and run just fine...but it'll have to crank long enough to build oil pressure before the fuel pump will run. The pump will not prime when the key is turned. But other than the extended cranking time, it'll run just fine.
Either one can power the fuel pump. GM built-in redundancy so that folks didn't get stranded if the relay failed. If both are working, they share the amperage load so they'd probably last longer before burning the contacts inside the oil switch and relay.