Once again, I believe you have the wrong picture of Jesus. Jesus said he was anointed (or appointed) by God to proclaim the good news that sins are forgiven. Religious leaders of that day said Jesus had no authority to proclaim any such thing--and demanded he prove he had been given this authority.
Another issue that troubled Jesus was that as Rome made Israel and Jews poorer, so much so that most lived in poverty, hospitality among the people naturally took a hit. (Remember the story of the five loaves and two fish.) Jesus message was to keep sharing, keep being hospitable with even the little available. It would be enough.)
Also something to ponder: Could Pilate have heard the story of Zacchaeus, who wanted a chance to meet Jesus, had that wish granted, and ended up giving half of what he had to the poor, and then repaying four times the amount he had conned from people. It appears that Jesus was a good person to stay away from if one was in a position of power and wealth (as the rich young man learned, as well).
Out in the desert Jesus had already considered doing all of this--providing food to everyone, using power and wealth--and dismissed it all as not being the will of God. It was the will of God he proclaim the good news that sins are forgiven. That message meant that Temple revenues could well take a hit, so the Temple authorities (who had been appointed by Rome) had to do something to ensure the monies kept coming in--i.e., get rid of the messenger. Jesus said he would lay down his life before he would stop doing the will of the Father. If it was not the will of the Father than Pilate be cured, do you think Jesus would have done that miracle any more than he would have leaped off the pinnacle of the Temple when tempted to do so in the desert?
Perhaps Pilate considered all of this. Picturing himself returning revenue to the Jewish people (and the consequences that would bring down on him) or having to kill Jesus when Jesus refused to heal him, why bother?