The CMRI & SSPX & SSPV believers at in "BOD of those who do not explicitly want to be Catholics", are denying ALL of the Doctors, Saints, and dogmatic decrees. Here is an actual example, notice that the individual described does not explicitly want to be a Catholic, nor does he desire to be baptized, nor does he even believe in Christ or His Church:
From the book Against the Heresies, by Archbishop Marcel Lefebvre:
1. Page 216: “Evidently, certain distinctions must be made. Souls can be saved in a religion other than the Catholic religion (Protestantism, Islam, Buddhism, etc.), but not by this religion. There may be souls who, not knowing Our Lord, have by the grace of the good Lord, good interior dispositions, who submit to God...But some of these persons make an act of love which implicitly is equivalent to baptism of desire. It is uniquely by this means that they are able to be saved.” END
There is no Father, nor Doctor, nor Saint that ever taught this! It is opposed to the Athanasian Creed, and all of the other dogmatic decrees on EENS. AND yet, the vast majority of believers in BOD subscribe to this belief! So why do they quote say St. Thomas on one hand, when they deny him with the other?
They do so because they are liberals, pluralists, rationalists and modernists (just like the Vatican II sect) concerning this specific subject.
It is undeniable.