My '97 7.3 truck would die on the road, then re-start after coasting to a stop. It was the CPS (crankshaft or camshaft position sensor, forget which one was being sensed). It was replaced for free by the dealer under recall and never had the problem again.
Even without the free repair, it wouldn't have been much money or difficult to install on the 7.3. The dealer told me the part is under like $150. I hear of guys carrying a spare CPS in their glove box and changing them out on the side of the road in a few minutes with minimal tools. I never investigated it myself.
I didn't know the 6.0 had that problem too. Our '05 6.0 never did that.
Another thing you can check is low battery voltage. If the voltage is too low, the truck wont start because of the fuel injection or glow plug system.
01 International 4800 4x4 CrewCab DT466E Allison MD3060
69Bronco 86Samurai 85ATC250R 89CR500
98Ranger 96Tacoma
20'
BigTex flatbed
8' truck camper, 14' Aristocrat TT
73 Kona 17' ski boat & Mercury 1150TB
92F350 CrewCab 4x4 351/C6 285 BFG AT 4.56 &
LockRite rear