Remind me of Shroud of Turin, former pope JohnII OKed the carbon dating by 3 acredited institutions and the result says most likely the shroud was from 14th century.
But the true believers say the sample was taken from the area that was fixed (stiched in by nuns in 14th) century, the sample was suppose to be taken from the center (yeah like the pope will alow you make a hole on that shroud).
So at the end let faith dictates what you want to believe. I believe in god as well as carbon dating and flushing trans won't hurt