What's LoF?
I think I can answer your basic question without knowing what LoF means though.
All people rightfully deserve separation from God, death and hell. It is within God's mercy and love to save some from what we rightfully deserve, not on our merit, but on Jesus' merit. He took what we deserve upon himself. (He was separated from his Father for something he never did, died and went to hell.) He is the sacrificial lamb and the scapegoat in one. So, in true fairness, God really did judge properly and showed mercy on some prisoners. Just not all. And that is within his glory and perfection to do that.
And he did "allow" all to believe.
John 3:16 “For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life.17 For God did not send his Son into the world to condemn the world, but in order that the world might be saved through him.18 Whoever believes in him is not condemned, but whoever does not believe is condemned already, because he has not believed in the name of the only Son of God.19 And this is the judgment: the light has come into the world, and people loved the darkness rather than the light because their works were evil.20 For everyone who does wicked things hates the light and does not come to the light, lest his works should be exposed.21 But whoever does what is true comes to the light, so that it may be clearly seen that his works have been carried out in God.”
and
John 6:35-40
35 Jesus said to them, “I am the bread of life; whoever comes to me shall not hunger, and whoever believes in me shall never thirst. 36 But I said to you that you have seen me and yet do not believe. 37 All that the Father gives me will come to me, and whoever comes to me I will never cast out. 38 For I have come down from heaven, not to do my own will but the will of him who sent me.39 And this is the will of him who sent me, that I should lose nothing of all that he has given me, but raise it up on the last day. 40 For this is the will of my Father, that everyone who looks on the Son and believes in him should have eternal life, and I will raise him up on the last day.”
We just didn't like the option until he chose us.