Now, that is new information! Any reference?
ALTERNATE is Nz LAW, like NORMAL LAW.
Just that Airbus appears to be using C* control logic, not a pure Nz Law.
As a C* aircraft slows, it switches from Nz to pitch rate over a small range of airspeed assuming I understand C* correctly.
There are questions on my end how Airbus handles invalid ADR inputs, and I'm guessing in that case it goes with pure Nz. But later as airspeed begins to return before the stall, it should transition the aircraft to pitch rate. The A320 transition speed is supposed to be around 210 knots. Probably not much different in the A330.
Zero pitch input on the stick below the transition speed should then result in a zero pitch rate (i.e. an aircraft trying to hold an attitude). Take a look at C* in this article:
Fly-By-Wire A Primer for Aviation Accident Investigators
Later in the deep stall with airspeed invalid, it should again be a Nz aircraft if my guess is right, except a substantial portion of the "lift" is no longer generated by the wing but instead by the fuselage drag.