No Middle Point Pull: The ball doesn't have a "middle point" that pulls it back. It just flies from one person to the other. There's no force trying to bring it back to a center. Is this a restoring force
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Yes, that description means there is no restoring force.
A restoring force would be a "pull to the middle point" that tries to bring the ball back to a specific center. Since the ball just flies from one person to the other without such a pull, there is no restoring force acting on it in that way.
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