If you want to say that it is merely a 'mode' of the normal law then fine, do so.
But for me it would be truer to say that it is another control law which can only be accessed from normal law
AoA law (ALPHA 1 law) is a 'NORMAL' law.
In 'ALTERNATE 1' ALPHA 1 law is replaced by ALPHA 2 law.
Let us see what airbus has to say:
Control laws referred to as 'NORMAL'
- Roll and Yaw
in flight
on ground
- Pitch
in flight
- Nz law
- High angle-of-attack protection (ALPHA 1 law) [replaces Nz law]
- High speed protection (VMO 1 law) [modified Nz law)
- Pitch attitude protection [modified Nz law]
at flare
on ground
- Pitch direct law on ground
text between brackets is mine.