He did. The thief played no part in the Suffering of Christ. That he was beside Christ does not include Him in the Work of Christ.
The thief did not die as quickly as Christ, and remained on the Cross after Christ died and went to Hades, where He declared victory. He did not go there as punishment, for Christ payed the penalty of sin through His death...
...not what happened after His death.
He stood as Lord, not one confined to punishment, for that would make death the victor, not Christ.
Jesus did not have a "Hell."
The Lord had a Cross.
He maintained His Sovereignty as the Son throughout.
John 10:17-18
King James Version (KJV)
17 Therefore doth my Father love me, because I lay down my life, that I might take it again.
18 No man taketh it from me, but I lay it down of myself. I have power to lay it down, and I have power to take it again. This commandment have I received of my Father.
Christ was in no way subject to death, Hell, Sin, nor any power. He willingly veiled His Glory in human flesh, willingly went to the Cross, willingly gave His life on that Cross, and the Third Day...He took that life back. 
There was no "Paradise restored," but indeed...Paradise emptied:
Psalm 68:17-19
King James Version (KJV)
17 The chariots of God are twenty thousand, even thousands of angels: the Lord is among them, as in Sinai, in the holy place.
18 Thou hast ascended on high, thou hast led captivity captive: thou hast received gifts for men; yea, for the rebellious also, that the Lord God might dwell among them.
19 Blessed be the Lord, who daily loadeth us with benefits, even the God of our salvation. Selah.
The Son of God came from Heaven...
John 3:13
King James Version (KJV)
13 And no man hath ascended up to heaven, but he that came down from heaven, even the Son of man which is in heaven.
Hell has no known inhabitants, though we do see demons ask "Have you come to torment us before the time."
Hades is where we understand Christ to have gone when He died physically, and He did not go there as a victim, but a Victor.
And while being veiled in human flesh is seen as His humility, and I do believe the cause for the plea "Let this cup pass," that what He came to do might be finished, we need to be careful not to suggest that at any time the Son of God was under the power of an external source. Only the flesh He inhabited can be viewed as weakness in the Lord, for we do see Him tired, hungry, and emotional. 
God loosed the pains of death...with death?
God loosed the pains of Hell...with death?
My friend, there is no such "hell" in the life of Christ. There is no such hell in the death of Christ. 
No, that is when the suffering which arose from having a clear understanding of sin ended. 
Only Christ, then and now, truly understood the magnitude of sin in regards to Holy God. Only He could understand the separation between God and man. 
And only He, our Great High Priest, could understand the necessity of the Cross. In that agonized plea for the cup to pass from Him, there was the desire to accomplish what He came to do. He wanted to Reconcile man to God.
That is precisely why He came.
Christ never did, and never will suffer Hell, which is eternal punishment. 
The Atonement was completed through the death of the Savior on the Cross. Again, that is why He didn't say "It's almost finished."
Consistently Scripture defines Atonement/Reconciliation as due to His death, the death of the Lord physically:
Ephesians 1:6-8
King James Version (KJV)
6 To the praise of the glory of his grace, wherein he hath made us accepted in the beloved.
7 In whom we have redemption through his blood, the forgiveness of sins, according to the riches of his grace;
8 Wherein he hath abounded toward us in all wisdom and prudence;
Colossians 1:14-21
King James Version (KJV)
14 In whom we have redemption through his blood, even the forgiveness of sins:
15 Who is the image of the invisible God, the firstborn of every creature:
16 For by him were all things created, that are in heaven, and that are in earth, visible and invisible, whether they be thrones, or dominions, or principalities, or powers: all things were created by him, and for him:
17 And he is before all things, and by him all things consist.
18 And he is the head of the body, the church: who is the beginning, the firstborn from the dead; that in all things he might have the preeminence.
19 For it pleased the Father that in him should all fulness dwell;
20 And, having made peace through the blood of his cross, by him to reconcile all things unto himself; by him, I say, whether they be things in earth, or things in heaven.
21 And you, that were sometime alienated and enemies in your mind by wicked works, yet now hath he reconciled
Hebrews 9:12
King James Version (KJV)
12 Neither by the blood of goats and calves, but by his own blood he entered in once into the holy place, having obtained eternal redemption for us.
Hebrews 13:12
King James Version (KJV)
12 Wherefore Jesus also, that he might sanctify the people with his own blood, suffered without the gate.
The Cross was sufficient, and His death sufficient to sanctify and reconcile man to God.
Again, He did not say, "Almost done," but "It is finished."
God bless.