Perhaps a better distinction regarding the various Traditional Catholic groups, rather than R&R vs. sedevacantist, would be whether or not people believe that the V2 papal claimants still have authority in the Church.
Do the V2 papal claimants still have authority in the Church?
NO -- Sedevacantists, Sedeprivationists, Father Chazal
YES -- classic R&R
Do the V2 papal claimants still hold office in the Church?
NO -- Sedevacantists
YES -- classic R&R, Father Chazal, sedeprivationists
It's this division that helps explain why Sean Johnson puts Father Chazal in the R&R camp, while I put him in the non-R&R camp. I distinguish between classic R&R and Father Chazal's "R&R".
Classic R&R is the only position that holds that these Conciliar popes have held legitimate authority in the Church; they believe that they have authority when they teach/command what is true/moral but not when they teach/command what is erroneous/immoral.
And this is why I'm perfectly fine with Father Chazal's positon. He does not impute the destruction in the Church to legitimate papal authority. I care very little for the academic debate between Bellarminists and Cajetanists/JSTists. All I care about is the pernicious allegation of classic R&R which holds that legitimate papal authority can destroy the Church's doctrine/discipline and can lead souls to hell.