True, but he didn't model for it, which is the point I didn't make very well.
It also doesn't seem to me to be appropriate for a church. OTOH, the pope removed the fig leaves from the Last Judgement, which I can't really argue with. Still, I'll go with the Shroud on this one. Keep it covered.
I'll grant you it's never been in the mainstream of iconographic tradition in East or West. Still, we do have full-frontal nude Christs in the ancient ceiling mosaics of the Ravenna baptistries. Perhaps the real problem is our own fallen response to nudity. Given the Church's inadequate catechesis on the matter of the body, which results in the faithful's scandalised inability to deal with the unveiled image, I regretfully conclude that you're right about nude Christs being questionable in the context of ordinary parish churches serving the essentially uncatechised and unformed faithful.
Jansenist nudity hysteria on display here