Tourist, I am not sure to grasp your explanation, neither on the stall load factor, nor how it applies to Airbus.
Airbus had to redefine the stall speed characteristics as the FBW is based on constant G load (when no input is made on the joystick), thus the FBW is trying to maintain 1G in level flight, right to the point where lift is no longer available. Of course, in practice, the lay pilot may never see this, as Aplha Floor would kick in before that point is reached.
You mention "They happen to have chosen one that is less than one."
Who is they? I suspect "they" did not happen to chose, as you might suggest, arbitrarily, but "they" must have observed that as the lift first decreases (definition of stall), so is the load factor.
A perfect 1G stall is something that a computer can do. I don't think any pilot is able to maintain exactly 1G as the stall is initiated.
I'd be happy to see inputs from fellow pilots and their views on the stall applied to FBW aircraft.