No, the Word says again and again Christ died for all. You insert the word elect because of your POV. But it is not there.
All of God's elect.
If your belief was correct Jesus would not have told us salvation is of God and only for those whom God calls.
Jesus said, a very important distinction in the verses of gospel, no one can come to him unless the Father leads, calls, them.
Jesus said through Paul the natural mind cannot comprehend the things of God because they are spiritually discerned.
The natural carnal mind is the worldly mind obsessed with the material world, the realm of flesh and carnal self serving passions.
This is why there are those saints who rightly say our adversary the Devil hides the truth of God's good news from us.
Because as we are forewarned but yet the worldly do not know this, the whole world lies in the power of the evil one, Satan.
And it is he who blinds people from the truth because the natural mind is within his domain. This is why God's Hy Spirit must intervene and therein overcome that condition in those whom he leads to his son. Which as Jesus taught us the only way anyone comes to him.
And of those the Father gives Jesus he shall lose none.
So while Jesus sacrifice was to save all people, those people and as Jesus said are only those whom the Father leads to him.
Jesus died for all those chosen, elected, by God unto salvation.
If everyone was saved the entire NT and Old for that matter would read very differently.
In one respect especially. Jesus death overcame the power of the 2nd death that was in Satan's control. If everyone without exception were saved, saying everyone without exception necessarily includes unbelievers due to the import of the word, everyone, then Satan would have ceased to exist as Lord of the carnal material world. Hell would have been open only to Satan and his angels. And there would not be a future judgement of saint and sinner to come .
But there is.
All does not equal every one.
All whom the Father gives Jesus.
And those are only able to understand the things of God that saved them because God's Holy Spirit overcomes the natural carnal mind that otherwise is unable to understand. Because to the natural carnal mind the gospel,the things of God are foolishness.
I think every Christian here knows someone for whom that applies. That one who thinks our faith is silly, myth,magical thinking, and so forth.
Jesus observed of those who had walked with him in his ministry and then left him, walked away. He said they were not one of us even though they walked with him for a time.
Those ones thought to choose to follow Jesus. That was the carnal natural mind thinking there was something to gain for doing this.
However, the natural mind cannot understand Jesus ministry, which is also why he explained his reason for teaching always in parables.
Therefore, those who walked with Jesus for personal reasons lost interest because the gospel did not operate in a changed consciousness within them. It could not, as Jesus said.
And as such, after a time those who walked away lost interest because they really didn't understand. Could not understand using the natural mind.
Which is also why Jesus made yet another distinction regarding saint and sinner, as those who walked away and Jesus said we're not one with us.
Jesus said of all the Father gives him (no one can come to me unless the Father leads, calls, them.), he shall lose none.
This does not pertain to the chosen who may choose to leave the faith for whatever reason. Because Jesus knows his sheep. And if a shepherd finds one has gone astray he goes in search of that one and recovers them and leads them back to the flock.
A Christian can walk away for a time. However God is not a man that he should lie. When God led that one to his son he knows them by name. And they are not lost because the shepherd is ever there for them.
He shall lose none.
Eternal irrevocable salvation by God's grace. Not of our doing so that none of us may boast we chose to let God give us his grace and enter therein to.