The argument that this item was produced in the 13th century necessitates belief in technological prowess not otherwise demonstrated in any other artifact handed down from that time.
It is conceivable that the Romans had the talent and science to produce the Shroud of Turin in the 1st century, but again, they knew nothing of reverse positives, etc.
Atheists and Agnostics who simply don't cotton to supernatural origins are forced to admit that the Shroud came from The Great Mothership!/s
The Shroud of Turin has never been dated. Some cotton cloth was dated. However that was a useless endeavor.
COLUMBUS, Ohio, August 15, 2008 "In his presentation today at The Ohio State Universitys Blackwell Center, Los Alamos National Laboratory (LANL) chemist, Robert Villarreal, disclosed startling new findings proving that the sample of material used in 1988 to Carbon-14 (C-14) date the Shroud of Turin, which categorized the cloth as a medieval fake, could not have been from the original linen cloth because it was cotton. According to Villarreal, who lead the LANL team working on the project, thread samples they examined from directly adjacent to the C-14 sampling area were definitely not linen and, instead, matched cotton. Villarreal pointed out that the [1988] age-dating process failed to recognize one of the first rules of analytical chemistry that any sample taken for characterization of an area or population must necessarily be representative of the whole. The part must be representative of the whole. Our analyses of the three thread samples taken from the Raes and C-14 sampling corner showed that this was not the case. Villarreal also revealed that, during testing, one of the threads came apart in the middle forming two separate pieces. A surface resin, that may have been holding the two pieces together, fell off and was analyzed. Surprisingly, the two ends of the thread had different chemical compositions, lending credence to the theory that the threads were spliced together during a repair.""LANLs work confirms the research published in Thermochimica Acta (Jan. 2005) by the late Raymond Rogers, a chemist who had studied actual C-14 samples and concluded the sample was not part of the original cloth possibly due to the area having been repaired. This hypothesis was presented by M. Sue Benford and Joseph G. Marino in Orvieto, Italy in 2000. Benford and Marino proposed that a 16th Century patch of cotton/linen material was skillfully spliced into the 1st Century original Shroud cloth in the region ultimately used for dating. The intermixed threads combined to give the dates found by the labs ranging between 1260 and 1390 AD. Benford and Marino contend that this expert repair was necessary to disguise an unauthorized relic taken from the corner of the cloth. A paper presented today at the conference by Benford and Marino, and to be published in the July/August issue of the international journal Chemistry Today, provided additional corroborating evidence for the repair theory."
One question might be whether this relic were the result of a later miracle rather than actually being the original shroud. With all the chaos that the early church underwent, it would have been easy for the original shroud to have been destroyed. It doesn’t take much exposure to the elements to destroy linen.