Bonding vs grounding a main and sub panel
Yes bonding in sub panel should be removed irrespective of the having / not having breaker, you can only bond in main panel(service entry)  and i assume you  run 4 wire (2 line , 1 ground and 1 neutral) from main panel to your sub panel. Bonding in subpanel  is an electrical hazard can  possibly  make  your ground  and  bonded metal enclosure  hot conductor.