Charles Freeman is commenting over at the History Today blog:
I am doing some work with a TV producer who is approaching weavers to recreate the Shroud weave- at the moment it looks as if only a medieval treadle loom could do it – but we shall see what the experts who specialise in treating early weaves ( it always amazes me that groups of such experts do exist!) come up with. One weaver apparently told me that she is furious she had got rid of her treadle loom as it would have been ideal.
P.S. This producer has already tracked down someone who has recreated a three in one herring bone weave as a commission for a church vestment. Whether they knew it or not ,the only other three in one herringbone linen, other than the Shroud, we know of is also from a church vestment dated to the fourteenth century-more circumstantial ,but only circumstantial, evidence that this weave was about at this time. I’d do think the evidence for authenticity is just not there and is being eroded by the day but there is nothing to stop anybody finding some evidence for an early date- it just has not been done yet so let the debate continue! (bolding emphasis mine)