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Yes, and the angle of attack sensor also stops the stall warning if it reads a value above a certain threshold, discarding the value as invalid.

But apparently the airplane can still fly for a short time even at this crazily large angle. Therefore when the pilot did the right thing to reduce the angle, he triggered the stall warning again and completely got confused. I think this is a major design flaw in Airbus's system.

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Yeah, even though it's suicidal, the angle of attack can physically be larger than 40 degrees, so I am not sure why would it be discarded as invalid. Most likely Airbus engineers decided that since no one would try to ascend at such ridiculous angle(especially since the autopilot will correct if the angle of attack is larger than 15 degrees), then such high values must indicate a broken sensor. A decision which contributed to the catastrophe, unfortunately.

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