I noticed when I was trying some of the new 109E skins out that the stabs don't break off when they're gone. I got rammed in a HO and it took my stabs off (go figure!) so I look back.. and... and.. They're still there!!! They were only half gone, outboard of the stab braces. There was still enough, however, that if it were a real plane I wouldn't have been without control (falling to my death).
Either it's not catastrophic and we ought not to lose flight, or the graphic ought to take the entire stab off. I'd suggest the latter. Please update whenever you can, but please take entire stabilizers off at the H-stab, rather than halfway out on the wing itself.