According to the NEC electrical code the bonding wire loop is not a grounding wire. It simply keeps all electrical and metal components at the same electrical potential to avoid a "difference of potential" that could cause a shock.

The only connection to ground would be threw the circuitry where the bonding screw attaches to the pump motor.

The ground rod and connection to the sub-panel is a separate connection required for a sub-panel wired from a main feeder panel.

Just remember that proper bonding and grounding are two separate requirements for pools.