LOL. Don't you people ever read your Catechisms? The uncreated Soul of the Church is the Holy Ghost, and His Gift of Sanctifying Grace. The created Soul of the Church refers to all those in the State of Grace. Soul of the Church is not just a theory but a doctrine.
There was also a Pope who said "Outside the Church there is neither salvation nor forgiveness of sin". All who receive forgiveness of sins, i.e. justification, as Fr. Feeney admits, must necesarily be WITHIN the Church. They may not belong to Her Body, but to Her Soul.
Here is Pope St. Pius X, the Ninth Article of the Creed:
"22 Q. In what does the Soul of the Church consist?A. The Soul of the Church consists in her internal and spiritual endowments, that is,
faith, hope, charity, the gifts of grace and of the Holy Ghost, together with all the heavenly treasures which are hers through the merits of our Redeemer, Jesus Christ, and of the Saints.
Q. 29 ... if, moreover, he sincerely seeks the truth and does God's will as best he can such a man is indeed separated from the body of the Church, but is
united to the soul of the Church and consequently is on the way of salvation
Baltimore Catechism: "Q. 512. How are such persons said to belong to the Church? A. Such persons [baptized Protestants in material heresy only] are said to belong to the "soul of the church"; that is, they are really members of the Church without knowing it. Those who share in its Sacraments and worship are said to belong to the body or visible part of the Church. https://www.ourladyswarriors.org/faith/bc3-11.htmThe Catechism also gives the Church's true understanding of Her own dogma, "A. All are bound to belong to the Church, and he who knows the Church to be the true Church and remains out of it cannot be saved." It is those who knowingly remain apart from the Church, for e.g. formal heretics, who cannot be saved. Concerning those who err in good faith, St. Augustine said "they are not to be accounted heretics". i.e. are in material heresy or mere error only, which is not a sin. Hence, they can belong to the Soul of the Church.St. Robert Bellarmine: The Church Militant (De Ecclesia Militante), c. 2: "Others, however, are of the soul but not of the body (of the Church), as Catechumens and those who have been excommunicated, who may have faith and charity which is possible."Although Catholics don't agree with the Dimondite methodology of "Sola Trent", BOD can easily be proved from Trent itself. Another thread for that.
Last Tradhican claims I believe: "Baptism of desire can save people in all religions who "only appear" to have died as non-Catholics."
If they had explicit faith in Christ, and Perfect Contrition, yes. Our Lord said not to judge by appearances but judge righteous judgment.
It's not for you to judge anyway, since you're not God. If they give visible signs of conversion, the Church prays for them liturgically.
Otherwise, we can pray for them in hope- as both St. John Vianney and St. Padre Pio did - imploring God they converted before death.
I showed that this is approved Church Teaching from Fr. Mueller's Catechism. If I recall Bp. George Hay also teaches the same thing.