I never did understand what the big deal was with this shroud anyway. If it’s a fake, so what? That doesn’t change the fact that Jesus was crucified and resurrected. That’s what’s important, not whether or not some piece of cloth covered Jesus’ head after He died.
Even for an atheist, I can’t see the significance. Except for the Resurrection and the miracles Jesus performed, the Gospels are consistent with atheism. That is, there was an influential religious teacher who preached in the Roman province of Judea. He ran afoul of the Jewish religious leaders who conspired with Roman authorities to have Jesus of Nazareth crucified. Presumably Jesus would have been buried in accord with local custom, which includes a burial shroud. Finding that shroud does not constitute evidence that Jesus was anything other than human.
In short, whether fake or not, why does it really matter? Nobody’s beliefs are challenged by it one way or another.
If it is real, I tend to think it is, then it highly suggests Devine intervention in creating the image. (Proof of Jesus deity) - You think atheists aren’t interested in that?
Just one miracle or example of Devine intervention utterly destroys the atheist world view. (Actually, demonic intervention does too.) Athiests can have nothing supernatural.