The attachment says good engineering practice says you should calculate 3 phase faults as well as phase to ground faults when analyzing the withstand rating of an EGC. In the words of Foghorn Leghorn... boy, i say boy, why is a 3 phase fault even considered? it won't flow through an EGC.
Well, it is Cooper Bussman, and they want to sell fuses. So they do have some motivation to make the issue look as bad as possible for circuit breakers (hence the 2/0 ground wire for a 60 amp circuit breaker). I'm not saying any of this is incorrect, but just keep the source in mind.
That said, there are also double line to ground faults (LLG). These can be higher than the single ground fault (LG), or even higher than the 3 phase bolted fault current.
Anyhow, LLG faults may sound a little bogus. After all, once the second line is shorted to gnd, the two lines are also obviously also shorted together. So we would normally expect much of the fault current to ignore the ground, and just flow on the line conductors. For example, if we have a 200 amp feed with 3/0 phase wires and a #6 ground, then yes, most of the LLG fault current is going to flow back on the 3/0 wires, and much less will flow on the #6 ground wire. That's just ohms law, because the resistance of the #6 is much higher than the 3/0.
But consider their example with a 60A circuit breaker, #10 phase wires, and a 2/0 ground. Now almost all the LLG fault current will flow on the ground wire since its resistance is much less than the #10 phase conductors. Now the LLG fault current will probably give the highest fault current on the ground wire.
If there are double line to ground faults, it seems like there should also be triple line to ground faults. But I can't find any references anywhere online to "Triple Line to ground faults". Is that because the sum of the three currents from all three phases to ground would actually be zero? They would cancel each other out? (I suddenly can't figure out how that doesn't happen with 3 phase bolted L-L faults? But that's probably best left for another post.)
So the only explanation I can really come up with is that they are just including the 3 phase faults to approximate LLG faults, which might be higher than the LG faults, and which might be kind of hard to calculate manually.