Stephen, we've discussed different verses and words, and you requested scriptures showing the reconciliation of all. There are so many. Here are a number, using YLT:
1 Tim. 2:4 "..God our Saviour, who doth will all men to be saved, and to come to the full knowledge of the truth."
1 Tim. 4:10 "..because we hope on the living God, who is the Saviour of all men--especially of those believing." NOTE: it reads "especially" not "exclusively."
John 3:17 "For God did not send His Son to the world that He may judge the world, but that the world may be saved through Him."
John 1:29 "Lo, the Lamb of God, who is taking away the sin of the world."
1 John 2:2 "..he is a propitiation for our sins, and not for ours only, but also for
the whole world."
Rom. 5:18,19 "Then as one man's trespass led to condemnation for all men, so one man's act of righteousness leads to acquittal for all men. For as by one man's disobedience many were made sinners, so by one man's obedience many will be made righteous."
Adam plus many equals all who are sinners.
Through Christ's obedience the same many will be made righteous.
Rom. 5:20 "Law came in, to increase the trespass; but where sin increased, grace abounded all the more, so that, as sin reigned in death, grace also might reign through righteousness to eternal life through Jesus Christ our Lord.
God's grace is greater than all the sins of all mankind.
2 Cor.5:14 "For the love of Christ controls us, because we are convinced that one has died for all; therefore all died."
God sees all humanity dying with Christ.
2 Cor.5:18,19 "All this is from God, who through Christ reconciled us to himself and gave us the ministry of reconciliation; that is, God was in Christ reconciling the world to himself, not counting their trespasses against them.."
Imagine, the sin question is settled! As ambassadors for Christ we need to beseech unbelievers to be reconciled to God.
Col.1:19,20 "For in him all the fullness of God was pleased to dwell, and through him to reconcile to himself all things, whether on earth or in heaven, making peace by the blood of his cross."
Isa.53:6 "All we like sheep have gone astray; we have turned every one to his own way; and the Lord hath laid on Him the iniquity of us all."
Psa.22:27 "All the ends of the world shall remember and turn unto the Lord: and all the kindreds of the nations shall worship before Thee."
Isa.45:22,23 "Turn to me and be saved, all the ends of the earth! For I am God, and there is no other. By myself I have sworn, from my mouth has gone forth in righteousness a word that shall not return: 'To me every knee shall bow and every tongue shall swear.'"
Swear means confess. To affirm this it is repeated twice in the NT:
Rom.14:11 "..for it is written, 'As I live, says the Lord, every knee shall bow to me, and every tongue shall give praise to God.'"
Phil.2:9-11 "Wherefore, also, God highly exalts Him, and graces Him with the name that is above every name, that in the name of Jesus every knee should be bowing, celestial and terrestrial and subterranean, and every tongue should be acclaiming that Jesus Christ is Lord, for the glory of God the Father." Concordant Literal N.T.
This confession to the glory of God could not come from the majority of mankind writhing in some place of torment.
And we read in 1 Cor.12:3 "..no one can say 'Jesus is Lord' except by the Holy Spirit."
And when is this time when all (those in the heavens and those on the earth) will be reconciled, and bow the knee and confess that Jesus is Lord? It must be when all enemies are "made a footstool" for Christ, as we read in 1 Cor.15:25-28 "For he must reign until he has put all his enemies under his feet. The last enemy to be destroyed is death. 'For God has put all things in subjection under his feet.'"
And this takes place at the consummation (of the eons). Reading 1 Cor.15:20-24 from CLNT: "Yet now Christ has been roused from among the dead, the Firstfruit of those who are reposing. For since, in fact, through a man came death, through a Man, also, comes the resurrection of the dead. For even as, in Adam, all are dying, thus also, in Christ, shall all be vivified. Yet each in his own class: the Firstfruit, Christ; thereupon those who are Christ's in His prescence; thereafter the consummation, whenever He may be giving up the kingdom to His God and Father, whenever He should be nullifying all sovereignty and all authority and power."
There can be much more, but I'm tired now.