My three horses have never been cross tied in their life, I don't know anyone who does it around where I live, maybe its a more common practise in America?
My horses are just tied to a bit of twine attatched to my shed.
I teach them to stand independent of the tie, my arab will stand anywhere I put him, does not need to be tied at all.
I don;t think my horses would appreciate not being able to turn there heads to look at something making noise etc, but I can understand where it would be useful to have the extra control.
I think it would be a good thing to teach your horse if he will ever be in that situation in the future, But I also think that if he is used to tying up fairly short or just standing then it wouldn't be too much of an issue for him.