[Smokin' Joe]

... why would finding a different style of shroud “cast doubt” on the one in Turin? Do we all dress identically today, or all use the same kind of bedding, or drapes, or anything else? Why would we expect those in the first century Roman Empire to all use the same things?

Precisely. Not everyone is buried now, and then if they are, not in the same style/type of casket. Far too many variables insofar as the material used, imho. Joseph of Arimathea (sp?) was a wealthy man, iirc, and could have provided really high-end shroud material as well as the tomb.

[RipSawyer]

I think the claim is that the shroud of Turin is woven in a way that was not known until around one thousand AD. If that could be proven it would mean that the shroud MUST be a fake. There may have been varying forms of textiles two thousand years ago but the selection would have been extremely limited compared to today, it wouldn’t have been simply a matter of having money.