Colin Berry poses some good questions (what he refers to as left is topmost image below and as right is bottommost):
Lirey Pilgrim’s Badge aka Cluny Medal (left),undoubtedly of 14th century provenance, recovered from River Seine in 1855, depicting the Shroud of Turin, as now called, then in possession of Geoffroi de Charny of Lirey, France versus (right) the 1865 drawing by celebrated Parisian merchant/collector/publisher Arthur Forgeais. Note the differences especially re face, chain on waist, feet and tomb(?) to be discussed shortly.
Points for discussion: why is the original shown without a beard or obvious signs of crucifixion? Why the chain (not a recognized feature of the Shroud)? What is at or immediately under the feet? Is that really a tomb as commonly assumed, whether open or closed? Is that a crown of thorns above the "tomb" or something else? And does the badge or drawing really show trickles or pools of blood on the back,feet etc as is often claimed?
The yellowish image above (top right) is taken from a photograph by Mario Latendresse. Maybe, just maybe, there is a hint of a beard in it. As for the chain, it seems to be a misinterpretation of the bloodstain. Bottom line: I think we are reading far too much into this medal when we start speculating (bordering on conspiracy theory-like thinking) that this is an image of someone else.
Drawing was enlarged with PhotoShop using Bicubic smoothing method.
Source: Comparison of Lirey Badge
A bit tough to call, but I also think there might be a beard there. The photoshop version seems to really enhance the image. Has anyone ever looked at a photo of the medal, particularly the facial area, with the VP-8 software? I believe a previous post announced a new, downloadable version?