You can't run the activity as a BSA Climbing Instructor in that council. I think that is the source of the frustration expressed elsewhere in this thread. Climb on Safely requires specialized training for canyoneering, caving, etc. If your council doesn't have approved specialized training from BSA National for these activities, they you can't undertake the activity merely as a BSA Climbing Instructor. Absence of a council policy, or participating in a council that doesn't comply with BSA National policies doesn't create an opportunity to violate Climb on Safely or the Guide to Safe Scouting. It just means you'll probably sink on the same ship as your council if an accident occurs.
I think you are generally correct on that. But you still have to follow other BSA polices, including the Guide to Safe Scouting, which references the
BSA Caving Policy.