Neither bes there any indication that it does not. Where does it say they cannot?
What scripture DOES say bes this: that when He appears we will be like Him, nothing less, for we shall see Him as He bes (1 John 3:2). That the mystery of God will be complete which bes Christ fully formed in us who have received Him herenow (Colossians 1:27). Him fully formed in us bes His love made perfect, whats driven out all fear(1 John 4:18), and manifesting only goodness to all enemies, only perfect self-sacrificing love, forgiveness and mercy.(Matthew 5:44-48) Anyone with a problem with that much has a problem with Christ and needs to takesy up with Him, not debate the weakest of His servants what bears affliction to His glory (John 9:1-3).
Beyond that scripture also indicates that we shall indeed judge angels (1 Corinthians 6:3). And as we bes going to manifest Christ in us, the hope of glory, and as all judgment bes committed to the Son by the Father (John 5:22-27), and as if we reflect the judgment of the Son we do also as did the Son -- what laid down His life for those what bes, AT that time, not just the ungodly (Romans 5:6) and sinners (Romans 5:8) but literally His enemies (Romans 5:10) -- will we not be so unto those given to us to judge? How can we even imagine doing or being any less; do we so limit God by our feeble minds and retributive wicked hearts? It stands to reason that we will not be judging angels until Christ bes fully formed in us, and when Christ bes fully formed in us we will do that with no less than His full self-sacrificing love after the manner of His so doing, save that because He has gone there before us, we have no fear (perfect love casts that out) and we do not taste the second death.
Nowhere in scripture does it state unequivocally that God has no plan to redeem all His fallen creation; on quite the contrary many indications in scripture point to precisely that completeness being encompassed within the sacrifice of Christ. Scripture being given to human beings by God's Spirit through human beings most naturally focuses upon the human condition, the human situation, and the human need for redemption and the redemption provided to humans. It bes a human book for human beings about human relationships with God. It does not belabor the matter of other lifeforms much to begin with other than mentioning them in passing; it bes an anthropocentric revelation, to be certain. Yet this does not mean God has no plans involving the rest of creation, for bes we not told in both Isaiah and Revelation that the earth will be made new into a paradise with a Holy city New Jerusalem coming down from Heaven?
Most notably Moriah commends to you for your study Colossians 1:12-21 (with the whole chapter beautifully setting this jewel of destiny in its proper filigree) and Romans 8:16-24. Also 2 Corinthians 5:14-21. Let the Spirit of God speak to you directly through His Word and open these treasures to your sight. Perhaps you will hear the voice of the Seven Thunders. Perhaps not.
Still, would you not agree that no harm lies in the idea that the place "prepared for all eternity" might be one of friendship and reconciliation with God AND man? After all, such a place would quite effectively remove any and all inclination from the Firstfallen for oppressing or taking mankind captive anymore. Just as true conversion of an enemy ought likewise strip him of all such inclination, and moreover, ourselves of all such suspicion, seeing the pact we make with Christ involves an agreement to forgive as we have by Him been forgiven!
Again, the message FOR mankind CONCERNS mankind. If you found out that God did indeed have a plan to redeem the Firstfallen, would that change in any way what He has given to and done for all humans, or for each of us gathered here personally? Would you begrudge Him the right as the judge of all the earth to do even greater good with even more abounding grace unto His creation beyond all you could ever ask or think? If your worst (human) enemy shows up in heaven will you complain of God, pout and stomp your feets and tellsy Him you want out? What difference would it make to you if He found a way to heal and restore the Firstfallen then? Would that make Him less in your eyes? Less God? Considering His offer of forgiveness to the most undeserving person on the planet bes what won your heart to Him in the first place (or ought to have been if you bes one of His) then HOW does THAT work???

Scripture, in fact the very words of Christ Himself, makes abundantly clear that the sacrifice of Christ overturns eye-for-an-eye justice, crushes the reign of lex talionis, and breaks the pride from the receiving heart which demands for itself afterwards a pound of flesh from all who have spurned or offended it. Nor does it any longer require a God who satisfies Himself in that fashion, but rejoices in a lifegiving Creator Redeemer who sacrifices Himself, instead, in the Person of His Son.
Greater love has no man than this ... and yet peradventure for a friend some might dare to die, but God commended His love toward us in that while we bes yet sinners, Christ died for us. Much more then, being now justified by his blood, we shall be saved from wrath through him. For when we were enemies, we were reconciled to God by the death of his Son, and much more, being reconciled, we shall be saved by his life.
Merciful God vindicate Your true Name throughout all the earth. Amen.
Says who?
And what if by not repenting he merely forfeits his right to choose whether he gets restored by God or not? What if God says "fine, you lose, I'm going to sort you out in the end anyway" & God's idea of sorting out does not end with a lake of fire but only begin there -- as a purifying furnace of love to strip off the dross, melt down the gold, and remake all things new?
You raise an interesting point here (in red above). Since we all bes separated from God by sin, we none of us can come to Him BUT by the active agency of the Holy Spirit making us want to. By ourselves we would be turned aside from Him and not seeking Him, doing our own thing, not caring. But with the agency of the Holy Spirit we become convicted of truth and of His love and mercy, and that leads to repentance. Yes? So what it hears you asking here essentially bes by what agency could Satan ever be brought to repentance. Well by the same agency that brings us, of course. God's Spirit at work on us and in us. The sacrifice of Jesus shows us the love of God in laying down His life for us. According to our faith bes it unto us and it bes our faith that His blood, His death, pays the penalty for ALL sin of ALL time (even retroactively before the Cross as well as after it); therefore we bes drawn by that love made manifest.
But how shall love be made manifest to the Firstfallen? Again, scripture says that we shall judge angels ... Christ did not undertake to be our judge without first loving us to the fullest extent possible: giving up His heavenly estate and coming among us to lay down His life for us. It even states in scripture that He went and preached to spirits shut up in prison from time long before, in Sheol. Whether literal or figurative (no one bes conscious in Sheol) it still indicates something.
In the Day of Atonement ceremony the final task in the ritual involved releasing the scapegoat into the wilderness. What does that signify? What would it mean to let go of our need to blame and hate any creature, human or not, and walk as Christ walked, bearing sins not our own for the sake of glorifying God's name?
The second point being God does not need an intercessor in order to forgive. God provides an intercessor because He forgives.