As pointed out earlier, at our voltages the GES is only there for lightning and surges (see 250.4(A)(1)) and three won't be much different than two
In my opinion, teaching that the grounding electrode is primarily for lightning protection is one of the greater disservices in Mike Holt's teachings. At the POCO level it certainly is one of the more significant functions, but at the end-user level, it is one of the lowest functions, not the primary function that (as I understand it) Mike teaches. If the primary purpose was lightning protection, you wouldn't need an 8' rod, and you certainly wouldn't need more than one of them.
Reread 250.4(A)(1) closer. It would appear that most people stop at the first term in the comma-list (lightning) and don't notice that it is just 1 of 4 listed purposes of the paragraph. Just because it is the first in the list, does not make it the most important, either.
Plumbers don't get electrocuted because the pipes are grounded. They get electrocuted when it isn't grounded (in whole or more importantly, in part). When metallic piping is in contact with building steel or enters the Earth, it is grounded and held to ground potential. As a matter of fact, if the lateral to the street is entirely metallic, it is a far lower resistance connection to Earth than several ground rods will ever be. As a low resistance conductor to Earth potential, Ohm's Law dictates that its entire length will remain at or near Earth potential within the limitations of its voltage drop.
A common problem is when a portion of the plumbing system becomes isolated from its Earth potential; either as the plumber is cutting it, or when someone installs plastic tubing somewhere in the system. When this happens, the isolated portion of the plumbing system can take on an elevated voltage due to capacitive/inductive coupling or direct contact with a current carrying conductor. The result is customers complaining of getting shocks in the tub or shower, or plumbers getting shocked while servicing the system. That's the same principle driving the requirement for equipotential grids around pools.
I think that one of the reasons why this can be confusing to some is because they primarily think of electricity as following "paths". Electricity doesn't care about where it came from or where it needs to get to. It only cares about differences in voltage. And when a difference in voltage exists, regardless of the cause, electrons will flow through conductive media.