Thanks, I had a feeling that might be the case!

Just found out it works the same way going from crouched to prone

The main thing I noticed was that I could bandage with my bandages, but not his. I also don't know if I'm still just too nooby with the xbox version, but I had a heck of a time getting his stuff in my inventory. The only way seemed to be to drop my pants and equip his instead. After equipping his pants I was able to transfer stuff from my original pants to my inventory easily. Much harder process than on PC. I pressed "put item in hands" repeatedly on all his stuff and none of it would go in my empty hands or my inventory.