You give a good illustration. I believe it would greatly enhance spreading the Gospel to Islam and the Far East. It would be everlasting to many (not all) to prove that Jesus rose from the dead scientifically. That's why opponents are trying to discredit.
Well, as long as we're talking scientifically - how would it prove that Christ rose from the dead? How does the shroud provide that evidence?
I accept that Christ rose from the dead after three days in the tomb. I accept that on faith. I don't need a receipt.