We couldn’t have anyone thinking they have us all figured out, now, could we?
perhaps I should have used the phrasing “sufragan diocese” to make clear that it is (no longer) part of the see of San Francisco, but that that is the one to which is attached.
I really couldn’t tell you whether suffragan sees are “part” of an RC archdiocese or not.
And given that the role of an archbishop in the RCC with regard to his sufragan diocese has been watered down into almost nothingness these days, it isn’t really an interesting question.
(there its apparently some role left, at least administratively: the interstate travel of a report from a Nevada diocese to SF was apparently the basics for federal criminal jurisdiction in an unfortunate event some time ago).