When a traditionalist Catholic, who either has issues with, or does not recognize, diocesan marriage tribunals, wishes to seek either a Declaration of Nullity or a "defect of form" declaration, what do they do?
I know that the SSPX has a "review process" of sorts, not to grant an annulment per se, but to examine the annulment granted by the diocese and determine whether it conforms to traditional, pre-Vatican II norms. I have to think, especially in today's Fellay/Pagliarani SSPX, that the party in such a situation would be directed to go to the diocese and follow their procedures, then if the annulment is granted, bring it back to the SSPX and let them review it. I have also heard that the SSPX "leaves it alone" if the party receiving the annulment is in good conscience and does not bring it up and does not present it for review, is that correct?
And what about sedevacantists and other such groups do (independent traditionalist non-sedevacantists who are served by a bishop, etc.)? Do they say "there is no competent authority to make such a judgement, so too bad, you just have to live with it"? Do they have their own tribunals? Review processes?
At the very least, "defect of form" declarations do not require any subjective dispositions --- diocesan tribunals merely gather the docuмentation, verify it, and if it is true that the parties did not follow canonical form, declaration granted, end of story. Do groups such as the SSPX, sedevacantists, independent chapels, etc., have a way to do this?