"...does not seek primarily a canonical recognition, to which it has a right as a Catholic work."
It seems this attitude is contrary to the spirit of obedience. No religious institute has a "right to a canonical recognition." Such things lie entirely within the decision, for good or ill, of the superiors. It is the superiors who have the duty, right, and authority to grant or withhold that canonical recognition at their will.
The work may have a right to exist, but the institute not so much.