This has come up several times before. The retention of pitch authority after loss of both a horizontal tail and its elevator makes some sense from an aerodynamic perspective; however, to get the same pitch your remaining stab must be able to create twice as much force (in the form of downward lift). Now there are two issues. First, is your single stab even capable of creating that much additional lift without stalling? I doubt it. Assume it can, you still have to determine if it can handle the load from a structural perspective. All the force the entire tail was generated is now all on one side vice being equally distributed. What formerly was a symetrical normal load on the tail now becomes an asymetric torsional load. All aircraft are designed with structural safety margins which explains the pictures you see of these heavily damaged aircraft that made it back. What you don't see are those that don't. Personally, I doubt the half tail could generate the required pitching moment to retain the aircraft's maneuverability and, even if it could, I doubt it could do it without twisting the entire tail right off.
There wouldn't be any more
torsional twist exerted by the single stab/elevator combo than there is from the stab/rudder combo. There certainly wouldn't be nearly enough to twist the entire tail right off (unless there was structural damage, of course).
Of course, there is some twisting force (which is why aerobatic aircraft have a different rudder shape and location), but it's primarily going to be a yaw for rudder, pitch for elevator, even if one h-stab is missing (it gets pretty hairy though when an elevator is missing, but both h-stabs remain).
This topic came up a few years back, and was discussed quite deeply. I had my own doubts back then. I even had someone follow me in auto-level in the DA, so i could have them shoot single parts off of my plane so I could test.
After that, I went out and spent a few bucks on balsa gliders, so I could do even more testing...
End result? AH is pretty gol-durn close to reality, from what I can see.
I was actually tempted to purposely build an RC model to equate to "AH-damaged" to do some testing. I never did, but I bet it would work.
A soda straw with a weight on the end, and some masking tape to make rudimentary stabs/elevators will show you the same thing.