Having seen the Sphinx personally, I do not buy the comparison.
However, the glass tunnels are quite interesting. We know on Earth that when sand is struck by lightning it forms glass rods. Is it possible that electronic principles work with martian dust? I am not sure - since it is believed Mars has oxidized.
Although, it does provide one striking possibility, that perhaps the electronic field of mars itself is intensified by its former liquid and now metallic properties. Which when combined with ultra intense lightning, could cause surface reformation.
They that give up liberty for security deserve neither.