I see your missunderstanding, but no, 1g is one gravity or a neutral state, where the lift component has the same force as gravity. Im at 1g just sitting in my chair. If you change any portion of the lift component your not at 1g anymore. A 0g state is anything in free fall. The same thing also applies to the thrust and drag components. Look at it this way. If your climbing at 1500 ft. per minute you are actually accelerating away from the force of gravity at 1500 ft. per minute.
So in your test, if you put the plane in a climb your actually increasing the stall speed do to the fact that your changing the airplanes 1g state. If your stall speed is 75mph and your plane is climbing at 4g's(for ease of this example lets say), your stall speed would increase to the square root of 4, which is 2 times your 1g stall speed of 75mph. The plane will stall at 150 mph.
In the case of a 1g stall in level flight, whats really going on is the slower the airspeed the more the wing has to change its angle of attack to create the lift nessesary to counter the gravitation force its opposing. Eventually the flow of air will separate from the airfoil and that is the stall. Your not stalling the plane, your stalling the wing. Dont confuse the angle of attack with the planes attitude (compared to the horizon). The planes attitude doesnt even factor. You can have a combination of the four vectors at various speeds and create the same effect. For example. Fly strait then turn the plane on its side. It can remain at that altitude but now your lift component is being maintained by the rudder and fusalage not the wings. The planes attitude is now perpendicular to the horizon, no effect on the 1g state. The plane is currently on its side flying level, now pull the stick back, now your changing the thrust and drag components but not lift and gravity. The airfoil doesnt know the difference and will stall the same as if it where horizontal.
Hope this helps.