Serge over at Conservative Blog for Peace wonders aloud whether their could be Anglican sedevacantism.
Serge sets forth a probable summary of this type of Anglican sedevacantism:
The Pope is not only our patriarch but the Vicar of Christ on earth... but the See of Peter has been vacant since 19__. We show we are not under the current claimant by remaining in the Church of England/Episcopal Church etc. and working and praying for reunion with a future true Pope.