I never had a therapist with such crazy cancellation policy and I would never have a therapist with such policy.

I am sorry if my opinion sounds radical, but this kind of policy, in and of itself, is an abuse of power. With this policy the therapist immediately puts himself in an extremely authoritarian position on top of the natural power imbalance that already exists in the therapy relationship.

I'd seriously question the therapist's character, if they have such an outrageous, draconian policy.