In fencing, the better fencers are spotted because their movements are so much smaller and precise. A 'disengage', for example, is usually a big wrist movement for a n00b, a small wrist movement for a decent fighter, a twitch for masters... and I know one guy that, well, I'd swear he doesn't move his wrist at all.
So perhaps we have move X which takes a 3" movement for a n00b, a 2" movement for an advanced student, 1" for a master and there's a few crazy bastards that can pull it off in 3/4". Following are crazy theories that could explain some of it:
1. The shorter the movement, the faster the movement, the less time it takes to recover from the movement or correct it. Advantage to the Master
2. Defending against a 3" move X requires slightly different movements than a 2" or a 1"... IF a person has never fought someone that had a 3/4" move X, then it may be that they simply couldn't defend against it. Advantage to the Master
3. The Master has thousands of years of myth and tradition on his side. The student has always heard of the Master, in whatever art, and his amazing prowess. Thus he may overestimate his opponent and make mistakes. Advantage to the Master
4. The Master has thousands of years of the experiences of other Masters on his side. The Master has learned to work with whatever is available to him. If his legs are poor, then his arms must find a way to replace them. Thus, the student, believing the Master to have no legs of use... may underestimate his opponent and make mistakes. Advantage to the Master
5. Maybe the Master doesn't actually need to be carried in, cause he actually just has a bit of arthritis in his knee. Advantage to the Master
Or, maybe there is some phenomena that the Chi label actually describes, which would also be an advantage to the Master.