Do the Catholic Church ex cathedra pronouncements about necessity of Catholicism to be saved still apply?

I think the following was spoken Ex Cathedra: > “The most Holy Roman Church firmly believes, professes and preaches > that none of those existing outside the Catholic Church, not only > pagans, but also Jews and heretics and schismatics, can have a share > in life eternal; but that they will go into the eternal fire which was > prepared for the devil and his angels, unless before death they are > joined with Her; and that so important is the unity of this > ecclesiastical body that only those remaining within this unity can > profit by the sacraments of the Church unto salvation, and they alone > can receive an eternal recompense for their fasts, their almsgivings, > their other works of Christian piety and the duties of a Christian > soldier. No one, let his almsgiving be as great as it may, no one, > even if he pour out his blood for the Name of Christ, can be saved, > unless he remain within the bosom and the unity of the Catholic > Church.” (Council of Florence--Pope Eugene IV, the Bull Cantate > Domino, 1441.) So as far as 600 years ago, this was considered an infallible statement by Catholics, correct? Here is another one from 700 years ago: > “With Faith urging us we are forced to believe and to hold the one, > holy, Catholic Church and that, apostolic, and we firmly believe and > simply confess this Church outside of which there is no salvation nor > remission of sin… Furthermore, we declare, say, define, and proclaim > to every human creature that they by absolute necessity for salvation > are entirely subject to the Roman Pontiff.” (Pope Boniface VIII, Unam > Sanctam, Nov. 18, 1302) Why then today do Catholics seem to change their mind about it? There is indeed confusion about what Pope Francis meant about atheists . This answer on Stack Exchange states that there are other ways outside of the sacraments and union with the Catholic Church to get to heaven . To be fair, it does contradict paragraphs 1257-1261 of the Catholic Catechism. So how does the Catholic Church regard these Ex Cathedra pronouncements which were clearly aimed at people trying to break away? Now that we have Protestantism, they seem to have mellowed a bit. But I would like to get a more in depth answer that explains 1. How *Ex Cathedra* statements seem to be disregarded 2. How Catholics actually squared these statements in the first place with the teachings in the Cathechism that seem to teach the exact opposite