That is correct. Either you believe there is absolutely no salvation outside the Catholic Church, which the Conciliar Church is not, or you reject the Dogma. If a trad priest or bishop believes this, he would have to not accept a stipend for someone he knew to have been inside the Conciliar Church, and therefore outside of the Catholic Church.
He couldn't.
Thank you for filling in and providing such clarity and unambiguousness in your response.
Having said that, I would ask at what point in time -- as near exact precision as you can in terms of a date or time frame -- when in your opinion did the Conciliar Church come into existence? Was it suddenly or did it take place over a period of days, weeks, months or years?
Also, in your opinion what was and is the correct criteria for determining whether an individual has died in the Conciliar Church or the Catholic Church?
To be more concrete and therefor in terms of particulars what, for example, would be the determining factors for an individual who was going to the Latin Mass and the Novus Ordo rite, each about 50% of the time due to the infrequent availability of the independent trad priest? If that individual died on a Sunday immediately after confessing his sins to a NO priest and attending a NO Mass would he have died in the Conciliar Church?
If that same individual had died on a Sunday immediately after confessing his sins to that independent trad priest and assisting at a Tridentine Mass offered by that priest would he have died in the Catholic Church?
Thank you for your anticipated response and I would certainly welcome a constructive response from anyone else.