It matters that He had one, particular specific appearance, same as you or me.
Otherwise, He didn't have a true human nature.
If He wasn't true God AND true Man, if He didn't live, die for our sins, and rise to bring us eternal life ... all for real, not play-acting, not just a story, not some sort of simulation ... then our faith is in vain.
Of course he had a specific appearance. Isn’t that a given? It has nothing to do with our faith though.
Oh, I don’t disagree with you on your statements per se, Jesus was indeed a man as well as God on Earth. Yet I think the same reason we don’t have a physical image of Jesus is the same reason God hid the bones of Moses when he died...our unfortunate propensity to venerate bones and images as idols.
The disciples who were with Jesus on the mount of transfiguration had seen Jesus’ physical form in their travels with him...THEN(drum roll and trumpets please) they got a glimpse of his TRUE FORM standing with Moses and Elijah, also glorified transcendently! What he saw prompted Peter to state” we should build a temple here “ to which a voice stated “This is my beloved son...Listen to Him!”
Even should the image on the cloth be that of Jesus, the Bible says his true glorified form is something utterly fantastic. The Bible also says that Christians are “the sons of God, and it doesn’t yet appear what we shall be; for we know that when he shall appear, that we will be like him for we shall see him as he is” Thus our real “true selves” will have Christ’s same glorified incorruptible bodies!
So much for image!
True. But it matters not what that appearance was. It is not important. Those who would deny things based on an appearance or a lack of one are no more likely to understand the importance of his being a real person, in a real place, in a real time than those who deem it important.
Faith is not revealed by vision, rather vision can only confirm faith.