In level flight, that AoA will be reached at different speeds depending on weight.
Since stall speed, and other speeds that depend on it, depends on weight, 'the computer' needs to 'know' the weight to calculate these speeds. For a specified configuration it is possible to calculate weight from AoA, airspeed, altitude and inertial data, but not from air data alone. Therefore the calculation is unlikely to be done in the ADC of 'your' airplane.