Have you considered the logical extrapolation of people having totally free will concerning this?
I am not saying, at all, that a person is able to act completely independently from God. Of course they can't.
Everything we have is from God; he created us in his image, Genesis 1:26-27 and put his breath, or Spirit, in us thus giving us life, Genesis 2:7. He knows everything about us, even before we were born, Psalms 139. Salvation is also from God; it was his idea and plan, he could have destroyed us as soon as we sinned. It is God who sends his Spirit, and the Spirit who convicts someone to repent, be born again and become a child of God.
What I am saying is that I believe that this is true, or can be true, for every person - that God does not think "I'll save him, but not her; Jesus died for her, but not these people."
God loves everyone he created, and because he created and loves them, wants them to be in a relationship with him. Yet not everyone will be saved; some will reject God and his offer of eternal life. The reason for that is that God gave humans the ability to choose. Adam and Eve, the Israelites, the rich young ruler; all people have the ability to listen to God and the Gospel and either say 'yes' or' no, not interested'. God made it that way; he did not programme Adam and Eve like robots, unable to do anything but worship and obey God because their internal software forced them to. God told them not to do something, but did not prevent them from disobeying him and making the wrong choice.
I believe that God gives unbelievers many opportunities to turn to him. Scripture says that all creation speaks of the glory of God; unbelievers may further be prompted to go to church/pick up a Christian book or the Bible/think about eternity after the death of a relative. All this prompting is from God - even if the unbeliever does not recognise it. But God does not force unbelievers to respond to him and take those opportunities. Yes, it is God's Spirit who gives them, but God has decided to ask for our co-operation and choice in the salvation process; he does not say "My Son died for you, you're going to accept me whether you want to or not". Even if they say 'no', I believe God still gives them opportunities to change their minds, and goes on doing so until they die; after which it's too late. In the OT, Ahab was a wicked king - and yet he repented after Elijah prophesied against him, 1 Kings 21:27-29.
The argument about choice seems to be that God has decided in advance that some people will not be saved and will not be allowed to choose him. Someone (it may have been you) recently wrote " 'all have sinned' and 'Christ died for sinners' does not equal 'Christ died for all sinners'." I disagree; and this person was not able to provide Scripture which says that Christ died for a few, or some percentage of, sinners.
Jesus told his disciples to love their enemies, and said that if we only love those who will love us back, that is not good; even pagans love people who love them back. Then he said we should be perfect as God is perfect, Matthew 5:44-48.
I don't believe that Jesus, who is God, would have told us to do something that his Father did not do or was incapable of doing. So God loves his enemies, those who hate him - which is everyone until they are born again. Christ died for sinners.
I think that once someone says 'yes' to Jesus, God gives them his Spirit, more of the desire to know, love and serve him and more faith.
If someone rejects God, I believe that he keeps giving them opportunities to say yes. If they never do, that is their choice, not because God made them with an inability to say 'yes' and follow him.
It is the idea that God creates some people with the plan that they will go to hell; that he has chosen destruction for them and that they could never be allowed, or able, to choose him - that is what I reject.