They are all lawfully established in the diocese, with the approval of the bishop, and they are all legally recognized as such. That isn't the case with any Trad "chapel."
Again highlighting your ignorance of Catholicism.
The more you post, the more you slither.
First you slithered away from "diocese" to hide in "non-Catholic."
Now you slither away from under the authority of the local bishop to hide in "in the diocese."
Of course such religious order chapels are physically "in" the diocesan boundaries. It is typical, but has
not been required, that chapels of religious orders be "under" [the authority] of the local bishop. Such chapels are "under" the authority of their religious order superiors.
You are a snake. Slither away from us.