I understand what you are saying..
However, IMO, the cross is where the messiah did pay the dept of every human that ever lived... Kinda like buying enough life jackets for everyone on the boat... Some believe and put the life jacket on.. Others deny and leave it hanging on the hook... When we die.. we fall overboard..sink or float.
The Great White Throne judgement is where those who denied and did not believe are simply shown, in a righteous court, the solid proof of their fate.
I look at like this if a person (who never hearing of God etc..) on an island found a piece of paper (say a page from a Bible) not mentioning the death on the cross and this person only reading this and never again (the rest of their life) knowing more than what they read on this piece of paper. Do they know enough to receive eternal life. I say yes they do and if they trust in Jesus for eternal life they will have it.
No one has ascended to heaven but He who came down from heaven,
that is, the Son of Man who is in heaven. And as Moses lifted up the serpent in the wilderness, even so must the Son of Man be lifted up, that whoever believes in Him should not perish but have eternal life. For God so loved the world that He gave His only begotten Son, that whoever believes in Him should not perish but have everlasting life. For God did not send His Son into the world to condemn the world, but that the world through Him might be saved.
Or a part like this.
Then Martha, as soon as she heard that Jesus was coming, went and met Him, but Mary was sitting in the house. Now Martha said to Jesus, “Lord, if You had been here, my brother would not have died. But even now I know that whatever You ask of God, God will give You.” Jesus said to her, “Your brother will rise again.” Martha said to Him, “I know that he will rise again in the resurrection at the last day.”
Jesus said to her, “I am the resurrection and the life. He who believes in Me, though he may die, he shall live. And whoever lives and believes in Me shall never die. Do you believe this?”
She said to Him, “Yes, Lord, I believe that You are the Christ, the Son of God, who is to come into the world.”
Or even as little as this
But you do not have His word abiding in you, because whom He sent, Him you do not believe. You search the Scriptures, for in them you think you have eternal life; and these are they which testify of Me. But you are not willing to come to Me that you may have life.