http://www.touregypt.net/featurestories/luxortemple4.htm
This colonnade at Luxor is attributed here to Amenhotep III (father of IVth a.k.a. Akhenaten, grandfather of Tut) but despite a fairly short reign, this was left incomplete, and the older temple sites were forbidden by Akhenaten, and the colonnade was completed by/for King Tut. Later on, Ramesses II “the Great” had his own name carved on these, as he had his image or cartouche carved on lots of earlier stuff the length of Egypt. Up near the top (which was dark, as it was roofed over in ancient times) the cartouche of Tut survived.
It seems to me that an erection would make Tut look more like Min than Osiris. In today’s world, the only appropriate place for a picture of Min is on a Viagra label!