We already know that with all the historical evidence there is no historic incident better or more variously supported than the resurrection of Christ, including his own words... “I am the resurrection”....
The resurrection is a historical fact—not just some philosophical ideal or idea. ..and certainly the power of God in raising him from the dead hardly could be contained in an old piece of fabric when in fact the 500 plus, both friend and foe, who ‘saw him’ after the resurrection and recorded as such certainly is far more powerful.
Hard archaeological evidence is one thing but chasing a fragment of cloth as is done with the shroud is a stretch at best when there is otherwise evidences of the resurrection far established and superior.
I think there is a humble way to accept Shroud evidence. It never was intended to have an utterly scientific explanation. Work that shows it stumps science is propitious.
Now we should ask what it tells us about Jesus. Most obviously He died and was resurrected in a strangely radiant manner. The Shroud, to a humble heart, testifies that our sins are gone and that we have new life of an unusual kind.
And so does the bible, of course. But perhaps bible concentration has gone so snobbish that we won’t even look at what the bible tells us about and then let God speak through that, too.
And why is it called the Shroud of Turin anyhow. Turin is only where it ended up. It’s the Shroud of Jesus! Give Him full credit for this clue to His mystery.