And not having the warning can cause problems. See AF447. (Though that wasn't their only problem, not by a damned sight.)
It's a lose lose situation, other than the fact that there are multiple AoA probes on the A330. We went over that as well. We could even run the hamster for a while on the AoA indicator in the C/P ... but that got us nowhere other than "who uses it?" "if they aren't scanning primary, what else won't they scan?" and "it could cause problems."
Nothing new here, and that poor hamster is exhausted.
This all may shed some light on why the general training standard is
prevent stall in large transport aircraft. Doing so renders a few of these problems moot.