I would say yes, since no one is created only to be damned. All have the opportunity, the option of entering via the narrow gate, and all retain their free will. If Christ’s sacrifice was not sufficient to cover all of mankind, then it was, by definition, imperfect. We now that this is not the case.
The grace is there for the asking. Those who do not ask; those who do not persevere are not availing themselves of all grace. The fault is ours, not that of God, or Jesus’ sacrifice. We fail when we do not evangelize those who might have turned had they heard the right word. The fault is theirs when they hear the word and do not turn. The fault is ours and theirs when we hear the word and do not keep it.
Christ restored the bridge to the heaven. We are able to go trough this bridge, so Christ’s work is sufficient for the salvation for everyone. Some people reject to go through the bridge, and they can do because of their free will.
I see your point, and I think there is room for development. God wills for all to be saved the Scriptures say. But does this mean he actually wills the salvation of each and every person efficaciously? No. Or else no one would be in hell.
Pope St. Hormisdas: “What the Roman, that is the Catholic, Church follows and preserves concerning free will and the grace of God can be abundantly recognised in the various books of the blessed Augustine, and especially in those to Hilary and Prosper, but the prominent chapters are contained in the ecclesiastical archives and if these are lacking there, we establish them.” (Sicut Rationi, AD. 520)
Pope John II: “According to the enactments of my predecessors, the Roman Church follows and maintains the teaching of Augustine.” (Epistle)
Augustine explained as follows.
‘And so that which is said ‘God wills all men to be saved’ though he is unwilling that so many be saved, is said for this reason: that all who are saved, are not saved except by his will.’ (Epistle 217)
‘And what is written, that ‘he wills all men to be saved,’ while yet all men are not saved, may be understood in many ways, some of which I have mentioned in other writings of mine; but here I will say one thing: ‘he wills all men to be saved,’ is so said that all the predestinated may be understood by it, because every kind of man is among them. Just as it was said to the Pharisees, ‘Ye tithe every herb;’ where the expression is only to be understood of every herb that they had, for they did not tithe every herb which was found throughout the whole earth. According to the same manner of speaking, it was said, ‘even as I also please all men in all things.’ For did he who said this please also the multitude of his persecutors? But he pleased every kind of men that assembled in the Church of Christ, whether they were already established therein, or were to be introduced into it.’ (Rebuke and Grace 44)
It seems interesting anyway, THere are Fathers who taught God does not want all to be saved. Only the Elect.