Tesla, I cannot agree.
The NEC is quite explicit when it states that the GEC need not ever be larger than #6. When you combine this with the '25 Ohm rule," it's pretty clear that connecting an electrical system to the dirt under it has absolutely nothing to do with either the service size, or clearing faults.
Whatever the ground is for ... 'reference plane,' lightning, whatever ... one rod ought to be plenty.
Yes, I'm aware of engineers who specify absolutely massive wires for the GEC, and ridiculously redundant networks of grounding electrodes. I won't be too harsh on the EE's, though; Article 250 is positively schitzoid in it's language. I believe this reflects the various theories regarding grounding that have held sway over time. Fortunately, the last two cycles have done a lot to untangle this mess.
Unless you have an installation that itself generates a great deal of static electricity - radio towers come to mind - I don't see any benefit to exceeding code on this topic.
