This problem is often what I have thought, too.
In many other games, though not all of them can necessarily come within the levels of historic FM realism AH boasts, when the tail/aft section is fatally damaged, it depicts the aircraft going into a rapid, irrecoverable dive.
Come to think of it, in many WWII footages and gun cams I've seen, when a plane has been hit with a long burst, there's this typical smokey explosion with fumes and sometimes fire, and the plane noses down and plunges to the ground. I've never seen the instance like in AH before. (Though admittably I'm not really an adept when it comes to having seen many films or so..)
...
In my meeger opinion as a layman in aerophysics

, I think davidpt40 has got it right.
Due to the characteristic of how damage is delivered in AH, a damage to the aft section seems remove every influence the tail section control surfaces can inflict upon flight, instantly, abruptly, and cleanly. It's like a plane flies by, and then suddenly the aft stab section disappears into nowhere, and with it all the lift and influence it produced..
Frankly, I think it's a bit absurd seeing a plane instantly stop travelling forward(it almost does that..), nose up 90 degrees straight, and decend and crash on it's tail like a helicopter landing..