I agree, a lot of useful things seem to be missing from the Controller UI, I have a thread posted about this also.
As far as the Delay Turn goes, it is there, but it's named Guard for some reason. But it's the same thing.
The breaking stealth on exiting a menu is definitely a bug and needs to be fixed. I've also noticed while bringing up the more options menu on items in any inventory seems to cause my character to move sometimes.
I would like to see the character and inventory menu look more like the KB/M with them on the sides and both at the same time.
Plus, no hide helmet option or able to see others inventories :(