Not really. Since the shroud was an object of veneration, if the public believed that it truly represented the image of Christ, then the shroud would affect how artists of that time would portray Jesus. So the question becomes which came first: the veneration and popular acceptance of the shroud as the image of Christ or the image of Christ in the artwork of the time?
Humm, that’s a good point. I always wondered why all the old paintings from antiquity basically looked the same. Perhaps this was the original image they copied. Strange