Soundguy - We need a 6.0 guru in here for a real answer, but until that happens I'll describe my '01 7.3.
Somewhere near the fuel filter (mine's a van, p/u's are a little different) there are 2 large relays. On 7.3 p/u's I've seen, these relays are under a removable lid/panel. 2 small studs for control wires, 2 large studs for source12v/load connections.
On my '01, the shorter of the 2 relays is the GP Relay. The taller relay is wired to the intake grid heater. I'm told that on the 7.3, the grid heater only comes on for very cold temps.
If you can locate the GPR on the 6.0, just test light the main power studs. On the 7.3, one stud (w. a factory rubber boot) always has power. Cycle the glow plugs and check for power on the other main stud - they are roughly 1/4" dia. studs on the 7.3 GPR.
With the GPR, you can have control signal or wiring problems too, but what mostly happens is the main power contacts just erode away over time. If you seem to have power making it through the main studs, while you are in there anyway, measure the voltage drop across the studs when the glow plugs activate.
I haven't played with a new relay to give you a MaxContactDrop voltage spec, but watching this voltage drop may clue you into an eroded or erratic relay contact.
If you don't have access to Alldata or some other commercial software to help locate the GPR conclusively, just try posting a 2xxx 6.0 pickup - need GPR location Pls thread on here, or try powerstroke.org.
Rgds, D.