Mustang, I was trying to make a simple summary of an issue that, as I mentioned, even the NFPA gets confused over.
Just to play Devils's advocate, the rebar of a pool is required to be bonded, etc....making it identical to a Ufer ground, for all intents and purpoese. Remember, the "rod" is but one of several electrodes permitted.

For the GEC, the NEC gives a minimum size of #6, though many places require #4.
For the bond between panels, the water bond, etc., our local code mandates a minimum #8 size.