the key problem is survival
As 99.9999 per cent or more of ancient textiles ( and these included all clothing) are lost, it is hard to say anything more than that the Shroud, if it is indeed first century, is a unique SURVIVAL. I am more interested in knowing about the looms ,ancient or medieval, that could have produced it and I am aware that this is a highly specialist area and I would defer to expert opinion.
Still there is much basic work to be done. Contrary to what Ian Wilson tells us ,the Shroud is not a particularly fine linen cloth. Examples of linen with 40 to 70 warp and weft threads per cm are known from Egypt, Palestine and Syria in this period, much greater quality than the Shroud. (See the good article on weaving in the ancient eastern Mediterranean in the Cambridge History of Western textiles ( p, 110 for the figures).
Again if one looks at examples such as the Ramesses Girdle, now in Liverpool, of c. 1200 BC, which, even with computer help, has proved almost impossible to reweave, the Shroud is not especially complicated.
So when one says that the Shroud is unique, it does not mean that one should say it is something special as a cloth so long as much finer and more complicated cloths from the ancient Mediterranean are known to exist.
For me, the key problem is survival. Although I believe that the Shroud is medieval, if a first century date does come up on a radiocarbon redating, I would assume that it was kept somewhere among the large and vibrant early Christian communities of Egypt where the damp would not have got at it. I am frustrated by the way so-called Shroud researchers are not prepared to look outside the Edessa/Constantinople route, when there are so many alternatives to it to explore. The Shroud would not have survived long cooped up in a brick wall in damp (even subject to flooding) Edessa!!