Pius XII did not condemn it and Fenton didn't say he did. What Fenton said is the terminology led some to conclude that there existed an invisible Church to which all the good people belonged.
Pius X used the terminology in his catechism:
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.
23 Q. In what does the Body of the Church consist?
A. The Body of the Church consists in her external and visible aspect, that is, in the association of her members, in her worship, in her teaching-power and in her external rule and government. ...
27 Q. Can one be saved outside the Catholic, Apostolic and Roman Church?
A. No, no one can be saved outside the Catholic, Apostolic Roman Church, just as no one could be saved from the flood outside the Ark of Noah, which was a figure of the Church.
28 Q. How, then, were the Patriarchs of old, the Prophets, and the other just men of the Old Testament, saved?
A. The just of the Old Testament were saved in virtue of the faith they had in Christ to come, by means of which they spiritually belonged to the Church.
29 Q. But if a man through no fault of his own is outside the Church, can he be saved?
A. If he is outside the Church through no fault of his, that is, if he is in good faith, and if he has received Baptism, or at least has the implicit desire of Baptism; and 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."
Do you consider Pius X a Modernist?
Liarslaus has no interest in the Truth, only in his foaming at the mouth polemics filled with bitter zeal. Liarslaus would have argued with Pope St. Pius X also if he had been present here, and then and there would have been excommunicated by the Pope for obstinacy in heresy. If a person stubbornly refuses to believe individuals can belong to the Soul of the Church, through Baptism of Desire before Baptism, and through Perfect Contrition and the Desire of the Sacrament of Penance after Baptism, and stubbornly refuses correction even from the Magisterium of the Catholic Church, then he or she do not belong to the Body or Soul of the Church.
It is precisely those who do not belong either to the Body or to the Soul - i.e. who are outside Her - who will be lost. EENS means this: Heresy, Schism, Infidelity are mortal sins. If you're culpable for those mortal sins, and die in final impenitence, you are lost. Thus, we have reason to fear many Dimondite and Ibranyist heretics, who are like neo-Jansenists wickedly rising up against the Catholic Church, to their own perdition, may be lost for being culpable formal heretics, unless before death they return to the Church.
Those who are in invincible ignorance, through Acts of Perfect Love of God and Contrition, and Desire for the Sacraments, can enter the Soul of the Church. This is the clear teaching of His Holiness Pope St. Pius X, which is stubbornly rejected by these Jansenists.
The Jansenist proposition that non-Christians receive no influx of Grace from Christ was condemned by the Church. Baius errors that Charity or Love of God does not remit sins in Catechumens and Penitents was also condemned by the Church and by Pope St. Pius V.
Some of the very greatest Popes in history have condemned the faithless heretical Dimonds, Ibranyists and their deluded followers.