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This council firmly believes, professes, and proclaims that those not living within the Catholic Church, not only pagans, but also Jews and heretics and schismatics cannot become participants in eternal life, but will depart "into everlasting fire which was prepared for the devil and his angels" [Matt. 25:41], unless before the end of life the same have been added to the flock; and that the unity of the ecclesiastical body is so strong that only to those remaining in it are the sacraments of the Church of benefit for salvation, and do fastings, almsgiving, and other functions of piety and exercises of Christian service produce eternal reward, and that no one, whatever almsgiving he has practiced, even if he has shed blood for the name of Christ, can be saved, unless he has remained in the bosom and unity of the Catholic Church.

Pope Eugene IV, Council of Florence, Cantate Domino.

This pope has personally told protestant pastors like Joel Osteen, Rick Warren and others he has no desire in them becoming Catholic. He said we are brothers in Christ and it makes not a wit what denomination they might belong to. If that is not the talk of a heretic I don’t know what is.

During the Council, Pope Eugenius, bishop, servant of the servants of God, Session 8—22 November 1439 [Bull of union with the Armenians] had this to say about Christians:

Sixthly, we offer to the envoys that compendious rule of the faith composed by most blessed Athanasius, which is as follows:

Whoever wills to be saved, before all things it is necessary that he holds the catholic faith. Unless a person keeps this faith whole and undefiled, without doubt he shall perish eternally. The catholic faith is this, that we worship one God in the Trinity, and the Trinity in unity, neither confounding the persons nor dividing the substance.

...It is also necessary for salvation to believe faithfully the incarnation of our lord Jesus Christ. The right faith, therefore, is that we believe and confess that our lord Jesus Christ, Son of God, is God and man. God, of the substance of the Father, begotten before the ages; and man, of the substance of his mother, born in the world. Perfect God, perfect man, subsisting of a rational soul and human flesh.

I read your quotation, but in the version I read, both “Catholic” and “Church” were rendered “catholic” and “church,” consistent with the quotations above.

Just some thoughts...

https://www.ewtn.com/library/COUNCILS/FLORENCE.HTM