kgavionics - If you like - I could give you some background information.
Imagine the case of two balls - one upon the other one.
Ist this a stable system? Yes - under idealized conditions, which means: Absolutely no external mechanical disturbance! Of course, this is not realistic, hence it will be unstable.
Here, we have a similar situation:
Assuming that the power rails and the input signal do exist (and remain absolutely constant) during calculation of the bias point we have no step signal (with corresponding transients) and the amplifier output will not latch because a stable bias point was found by the program. Therefore, we must use realistic conditions - at least as far the input signal is concerned (switch-on at t=0). Even more realistic is a switch-on of the power supplies (step voltage) at t=0 or some milliseconds later.