If its only 'claim to fame' was that it was a very old shroud or painting, then I would not make that claim (and, indeed, I doubt very much I would have heard of it).
Maybe fraudulent is a little bit strong. The different analysis done (not the C14 one, which proved to be unreliable) indeed show it may be around 2000 years old or so. Now, we have no way of proving that the person who was wrapped in the Shroud is actually Jesus or not, while there are some similarities in the injuries described in the Bible and the blood stains locations on the Shroud. I think even the Church itself does not recognize it as being 100% authentic.
So, "we don't know", is probably close to the truth than "fraud".
I'll try to find some sources if you are interested in the subject.
A fraud of what? It may not be the cloth in which Jesus was wrapped, but it's still very old nonetheless and certainly not a painting from the Middle Ages as some charlatans tried to portray it.