I thought the Shroud of Milan had long since been dated to several hundred years after the time of Christ, at the earliest.
Also, blood (and therefore anything it’s in contact with) rots quite quickly unless special effort is taken. It’s the first thing to become corrupt in any corpse - within hours. Unless the fabric was very carefully treated, preserved, and protected, wouldn’t it disintegrate?
It obviously has been treated, reserved, and protected from the time it was created. But was the creation two thousand years ago, and why would they treat, preserve, and protect the shroud of an executed prisoner with a handful of followers? And why would even that handful - who were Jewish - desecrate a body by removing the burial shroud themselves? Because that is desecration in Jewish law. Are there shrouds of any other executed people of the time in existence? A lot of archaeology takes place in the region so either there must be many, or there are none. The existence of more than one from Jewish burials (so not protected by a coffin) of heavily bloodied bodies in that climate would at least prove it possible.
For this to be real and to have ended up in Christian hands, Jews would’ve had to do it because Christian’s didn’t exist. Jews don’t handle or store the blood of the dead, ever, it’s a major no no. Everything from burial of people to kosher slaughter is about avoiding contact with blood - even post mortems aren’t routinely carried out, even in the case of murder, because the body is a pathogen containing putrefaction that must be disposed of within hours, with as few people coming into contact with it as possible. For those who can’t avoid doing so, they can’t ritually purify themselves after contact with something like a burial shroud covered in blood if the sacrireligious contaminant is still there in their possession.
Relics, particularly of the bloody variety - which this is - are a Catholic and Eastern Orthodox thing, not a Jewish thing. And there was no Catholicism or Eastern Orthodoxy at the time because Christianity hadn’t yet developed.