No, I don't agree. Why? Answer this question.
Do you believe God when he tells you he is Sovereign over his creation? Do you believe God when he tells you all things are predestined, predetermined, according to his will?
What do you think of the import of that message in Matthew 6 that includes this statement: Thy will be done, on earth as it is in Heaven?
Do you imagine it possible that God answers for you, "Yes", to all my questions, per his word, and then says, but not in this case. Or not in that case. Pick whatever case, exception, you want.
All things happen according to God's will. We know this because he tells us so.
Therefore, one has to remember his Book of Eternal Life, aka/ The Lamb's Book of Eternal Life.
Names of all who would be called to be saved, would be saved, by God.
Before he created the world. Think about that for a minute.
God knew the names of those whom he'd save before there was any need for humans to be saved. Because the world wherein the Eden incident occurred had not been created yet.
All things happen according to God's will. By creating The Elect of God, as God did, those names in the book are his. As Jesus told you, no one comes to him but the father God calls them.
If you have one factored absolute that is God's will in action, then the alternate absolute is that by choosing whom he'd save before the world, all others not saved were by his choice too. Simply because they were not those named in his book of eternal life.
And that is what is meant by those whom God means not to perish. And so, they do not.