I'd buy that. After all, you've just removed a major/highly authoritative (for fighters) lifting surface and the NP is usually well aft of the CG (in a statically stable a/c).
So, if I understand you correctly, the net pitching moment of the whole aircraft is negative, but when the horizontal tail is shot off, the net pitching moment immediately becomes positive? You understand why I'm a little dubious of that? The weight loss of the empenage should shift the CG forward dramatically, given the large arm of the empenage moment. I'm a little curious as to whether or not we could simulate the movement of the NP and the CG with the loss of an A-20 empenage. Obviously, we'd need to estimate the weight of the assembly which might be the long-pole in the tent that prevents it.
Also, this would mean that non-symmetrical h-stab airfoils would be inverted? And that negative angles of incidence would be used?
[edit] I keep thinking that there's some downwash effects that we're not considering here...