Actually this is misleading due to the intent of the gospels to vindicate the Romans as responsible for the crucifixion of Jesus. It is terribly unlikely that Rome would defer to the Jews for being responsible for Jesus conviction, because the crime is rebellion against Rome. The contradiction is that crucifixion is the Roman penalty for rebellion against Rome. Jesus was accused of rebellion against Rome by claiming to be the King of the Jews. If the Jews convicted Jesus he would have been stoned to death,
But they were afraid of the backlash from the rest of Israel that did follow Jesus.
Your story sounds good if you were a lawyer trying to argue a case to get the Jews off. But they had their chance to redeem the 70 weeks. If they would have accepted their Messiah, the NT may not have ever been written. How He would have loved to gather them as a hen gathers it's chicks. But they missed the time of their Visitation.
It sounded to me like "Rome" was trying to let Him go.
It sounded to me like Pontius Pilate, a governor of the Roman Empire, was the one who pronounced Him the "King of the Jews."
“Here is your king,” Pilate said to the Jews.
Over two Chapters of John 18 and 19, Pilate was trying to let Him go.
“I find no basis for a charge against him.
But they weren't going to give up.
"Once more Pilate came out and said to the Jews gathered there, “Look, I am bringing him out to you to let you know that I find no basis for a charge against him.”
And again:
"As soon as the chief priests and their officials saw him, they shouted, “Crucify! Crucify!”
"But Pilate answered, “You take him and crucify him. As for me, I find no basis for a charge against him.”
And again:
"The Jewish leaders insisted, “We have a law, and according to that law he must die, because he claimed to be the Son of God.”
"When Pilate heard this, he was even more afraid, and he went back inside the palace. “Where do you come from?”
Even after all that, Pilate still tries to make an out for Him:
"From then on, Pilate tried to set Jesus free, but the Jewish leaders kept shouting, “If you let this man go, you are no friend of Caesar.
“Here is your king,” Pilate said to the Jews.
Again:
"But they shouted, “Take him away! Take him away! Crucify him!”
And again:
“Shall I crucify your king?” Pilate asked.
And again:
“We have no king but Caesar,” the chief priests answered.
"Finally Pilate handed him over to them to be crucified.
Rome was the mechanism, but the Old Time Jews were the hand inside the glove.