This is where your understanding falls short. Stalls and spins are parts of the same elephant. In fact a spin is basically a steady state partial stall; one wing firmly stalled while the other is still flying. That's what gives it the corkscrew motion, like a descending maple seed. Spins occur when one wing stalls before the other, usually as a result of a yawing motion, or a slipping or skidding condition as the critical AoA is approached. In this case the advancing wing experiences a slight increase in airspeed and reduction in AoA, while the retreating wing loses airspeed and its AoA goes critical, stalling the airflow, losing lift, and dramatically increasing drag. Retreating wing is dragged back and down, advancing wing gains airspeed and lift, rising up and over the top, while the windshield fills up with trees that start to go round and round and get bigger quickly. So there you are in a fully developed spin without ever fully stalling your airplane.
I just described a docile spin entry entered from 1 G level flight without a whole lot of power on the plane, caused by a "sloppy" approach to a stall. An instructor gets used to seeing this, as most students haven't developed the finesse yet to exert precise rudder-aileron coordination at high AoAs. That's why we devote a lot of attention to slow flight maneuvering before we start messing with stalls.
Now reenact this scenario in a 60° banked 2 G turn with the engine at full power to maintain altitude. As you approach critical AoA, the difference in lift between your faster traveling outboard wing and your inboard wing is starting to become significant, subtly changing the balance point of rudder-aileron coordination. With 2 Gs on, the consequences of any inadvertent asymmetry will radically increase the rolling motion when one wing stalls before the other, likely resulting in a head banger.
Now put yourself in a P39, an FW190, a P40, or fighter of your choice, pulling 4 Gs with tracers zinging under your tailfeathers from a bad guy "saddled up" in your six. Wouldn't it be nice to have a buffet or a burble, or even a stall horn to let you know that if you pull just a little harder, you're going to snap roll into his line of fire?