Yes, it is active. I have seen and done high AOA exercises in the simulator and the green dashes (PFD markings) remain on the pitch limits even after the high angle of attack protection activates. That tells me as a pilot, the aircraft still has pitch attitude protections active. Here is a snapshot I took from a windshear recovery in an A320 (level D simulator) from YouTube with alpha floor activated. You can clearly see in the yellow box that the green dashes are still on. This gives the pilot an indication of the pitch attitude protection.
It makes a lot of sense. The protection adds thrust when it enters alpha floor. This means, it should not require a lot of nose down pitch attitude to recover. High angle of attack does not prevent you from a fully developed stall. It recovers way before you enter a full stall. So, you do not need to pitch down by a lot. Even if you pull the stick fully back, the aircraft will maintain V alphamax and slowly climb as TOGA thrust is added by the activation of alpha floor. Thus, a higher pitch attitude should not be required in an escape maneuver like in windshear. As a matter of fact, if for any reason (maybe due to an upset) if the aircraft pitches up more than 50 degrees or pitches down more than 30 degrees, the abnormal attitude law activates, which forces the aircraft into alternate law to help the pilot recover from what the airplane considers something beyond its protection envelope.
The next hint is found in the FCOM. It states:
Furthermore, there is no emergency situation that requires flying at excessive attitudes. For these
reasons, pitch attitude protection limits pitch attitude:
‐ 30 ° nose up in conf 0 to 3 (progressively reduced to 25 ° at low speed).
‐ 25 ° nose up in conf FULL (progressively reduced to 20 ° at low speed).
‐ 15 ° nose down (indicated by green symbols “=” on the PFD’s pitch scale).
It further says that:
Pitch attitude protection enhances high speed protection, high load factor protection, and high
The last statement says it all, does not it? Airbus believes pitch attitude protection helps to enhance the effectiveness of other protections, including high AOA protection. Again, it is sensible. You need limitations for the protections to ensure that they do not go berserk.