i guess i cant convey it well enough via words.
you have a sub panel (aka "spa panel-ocpd/disco") 20ft from pool gear. you carry over egc to pool pump frame. your pool area is bonded per nec and that bonding is tied "in the vicinity of the pump". so now you have bonding tied to egc indirectly. now, over the next year or so the egc on the pump corrodes or breaks off, but in a non-obvious way. the egc is now lost at the pool gear, and now gfi may not trip properly.
so, how to avoid that? stick a rod in ground at the sub panel, tie panel box to the rod, tie bond grid to the rod.
how does the rod help? lets just say a 20ft rod gets me 30ohms. the egc is completely lost for whatever reason. the 240vac does a high ohms short to the bond grid. the bond grid will flow some current to the rod, and because you have a high ohms to low ohms divider the voltage on the bonding will be low. you still have equi on the grid, so from that view its still good, but you dont have 240vac on the bonding.
next is if the egc is lost, rod provides 30ohms, 240vac does a low ohms short to bonding (still safe w/o rod right? no.), the rod flows 8A, gfi trips at its rated mA, etc.
so, one ~10-20ft rod and some extra bare copper wire simply makes the install safer.