I just noticed two things today, so I felt I'd share and see how just plain weird Medjai is.
When in bed, around night time, If I'm in bed sleeping and Medjai wants to curl up next to me, he scouts his spot, and instead of sitting down slowly like normal, he just about faints and falls.
The other one, I just noticed. I rearranged my room and now his crate is close to my bed. Medjai likes to crawl under my bed, and just decided he wanted some toys from his crate, so while under my bed, Medjai tried to go through the bed skirt and through the crate to grab his toys. I just found it funny that he wouldn't stop trying until I told him no.