There is no inertia switch on a C/K/R/V.
There is a fuel pump relay and an oil pressure switch. Switch is redundant in case the relay fails, they have zero to do with safety. Failed relay will result in abnormally long cranking times with a cold engine.
The truck will start and run without one or the other, as long as one still works properly.
Pump not priming is an issue. FYI there is a timer on that function, if you cycle the key to check, you have to wait ~15 seconds or so before trying again. But obviously if it doesn't prime the first time you try, it's not likely going to the second time no matter how long you wait.
There is a single red wire hanging off the fuel pump relay. Put 12V directly to that wire and it bypasses both the relay and the switch. You should hear the pump run immediately doing this. If it doesn't, your problem is LIKELY on the fuel tank end. Bad ground, bad connection, bad wire, etc. If you don't hear the pump prime with the key, this should be your first test.
Edit: this oil pressure switch topic comes up fairly often. Can't find the post where I quoted the service manual, but I did find this, which I can't verify. But is inline with what the manual says:
"
*** UPDATED BY TSB 893206E, DATED OCTOBER 90
When the key is first turned ON, without the engine running, the control module will turn the fuel pump relay ON for two seconds. This builds up the fuel pressure to normal operating pressure. If the engine is not started within two seconds, the control module will shut the fuel pump OFF and wait until ignition reference pulses are present. As soon as the engine is cranked, the control module turns the relay ON, which powers the fuel pump. The control module continues to power the fuel pump during engine operation. If the fuel pump relay fails, it is backed up by the oil pressure switch, which continues to operate the fuel pump as long as oil pressure remains above 28.0 kPa (4 psi)."