As much as I don’t like how this looks on its face, given that this is a very new society, the bishop is probably completely in his rights to ask them to stop. Forming a new religious order or Society of Apostolic life takes quite a bit of time and goes through a number of steps. My guess is that, while they refer to themselves as a ‘Society’, that they were a Private Association of the Faithful in the early stages toward becoming a Society of Apostolic Life. Maybe the bishop’s reasons are good and maybe not.
Some of the other groups, including the FSSP, the Clear Creek monks, and the Latin Mass communities have different statuses, which would provide them considerably more rights than it would seem the Doloran Fathers had.
This bishop is reversing his predecessor’s approval of the society. Also, the society had been approved of being subject to the Ecclesia Dei Commission in Rome.
I don’t understand your concerns.