I assume this is AA Flight 587. Once the tail broke off there is no indication that I recall that the pilots realized this had happened but the plane crashed after the engines fell off.
Regarding Japan Airlines Flight 123 it lost hydraulics and had no aileron and elevator control. The pilots had yaw control from differential thrust until after they lowered gear and flaps.
Neither incident shows that aircraft can't fly without a tail.
Tell you what! Go take the vertical stab off of any aircraft you want to and see long it flies!! Even money says it won't even get off the ground!! Once you apply power, all you are going to do is great big ground loops, until you get dizzy headed or run into something. Not trying to argue with you, but take a Twin Beech model 18 or a lockheed Lodestar and try landing without using any rudder, just aerlions, in a 20 knot, 45 degree cross wind and see how that works out!