Depends which facts you factor, doesn't it? I'm willing to keep an open mind on this. There was a Shroud, but is this the one? We know that there was a thriving market for forgeries in the Middle Ages. Practically every prince had several. Using Occam's Razor, I get a different answer...
We will never know if this is THE Shroud. It doesn’t come with a name tag.
But I believe the Shroud is a genuine relic of a crucified man and the manner of the imprinting of the image is, well, beyond the explanation of science at the moment.