Normally, you have a ground wire so that if there is a failure, the electricity has a path to ground that it goes to instead of going through you. If you have a ground wire tied to the pool and let's say the electric wire from the pump severed and touched the pool then electricity would flow through the pool to ground and if someone was in the pool then it would seem like they would be electrocuted. Without the ground wire, the pool would go up to the line voltage but no current would theoretically flow so someone in the pool shouldn't be harmed. This matches John T's explanation of the purpose of bonding. However, the bonding wire just sits on the ground so the pool is not totally isolated but I'm guessing the amount of current that can flow to ground is much less through a thinner wire sitting on the ground wire than a fat rod buried in the ground.

In either case if your pool was hit by lightning I think anyone in it would be toast.

If the above is true then I would remove the connections to ground.

Peter