I would assume Jesus would have no more use for a dead body than I would and that what people saw for all the world looked and sounded as if he had been resurrected in the flesh but that such was not actually the case and that what they experience was basically paranormal in nature. In fact, had Jesus actually spent 40 days walking around a Roman protectorate in a dead body, Roman soldiers quite certainly would have noticed that, and done whatever was necessary to put a stop to it.
Jesus had precious use for a body following His crucifixion. The body that Jesus presented to Thomas was physical, not an apparition. Following His resurrection, He met the disciples in Galilee and asked for something to eat ... they gave Him fish and He ate it in front of them, to show He was not an apparition. In fact, the disciples are reported to have offered this very same question to Him upon seeing Him risen from the tomb! And He went out of His way to show them it was in fact He in the flesh, the resurrected, transformed flesh. So, why is this important to note?
The Romans were going out of there way at the time of Jesus's crucifixion to appease the Jewish leadership. To have a faked crucifixion of the leadership's main antagonist of that day would have been grounds for revolt, something Pilate was sent to Jerusalem to prevent. When the Romans crucified a man, he stayed dead. Were there to be a body rotting in some hideaway, the Romans and the Jewish leadership would have found it, to end the controversy and seal the deal -so to speak- of Rome giving the Jews something they cried out for, the death of this agitator from Galilee.
Had Jesus not been dead when removed from the Cross, the Romans would have been culpable for aiding a revolt against the Jewish Sanhedrin's authority and thus it would undermine Roman authority. No, He died on the Cross, and a rich man gave his tomb to have Jesus buried quickly because of Jewish law. On the third day He arose from the tomb and transformed His body, the body which had been crucified leaving nail marks, scars from scourging, a spear stab in the side, and thorn wounds.
When questioned by the disciples in Galilee, Jesus showed them the marks and told Thomas to touch Him so that he would no longer doubt that It was indeed Him come back to them, as proof of the spiritual power undergirding His promise of spiritual salvation and bodily resurrection for each of them. When He ascended into Heaven, He took that resurrected body with Him, a body that could take in cooked fish and be felt when touched ... He took the body to prove His divinity, not to hide His body from corruption; the scriptures read that He would not see corruption.
So, what purpose do these fabrications for doubting the divinity of Christ serve? Well, for Simcha this fabrication is a wealth builder and feeds Simcha's twisted ego. For common folk wondering if this Christ is God and can He actually save their immortal soul, the media pieces and the seemingly scholarly discussions of same work wonders to block repentance and humility before God ... 'who would humble their soul before a myth being refuted on television?'
Don't aid and abet the enemy of Christ, the father of lies, a murderer from the start. The death, burial, and resurrection of Jesus Christ is the power of God unto your Salvation ... and if the crucified body rotted on Earth, your salvation would be a scam. Choose you this day ...
Like I say, to me it doesn't matter, I'm willing to worship Jesus either way, so that the lunatics are wasting their breath at least as far as I am concerned.