Can PC joystick simulate aerodynamic lock in spin?
Yes there are PC joysticks that can remain in an off center position: the active feedback joysticks, without the force feedback switched on. The stick feels pretty light in that situation and kind of remains where you put it, almost like a helicopter cyclic stick with the trim button released.

When switched on, the force feedback can act like a passive spring and accepts some input parameters for varying the feel. The neutral position can be varied, the return position of the spring. All pretty course, not bad for the money, although the stepper motor produces grainy feedback forces.