All the buses think a little differently. Even within the same family.
The 320 series can go back to normal law if the pilots intentionally degrade it. But not if it degrades on its own. Basically, in the case of an airspeed or AOA issue, the plane knows there’s bad data and doesn’t want it reintroduced into the system.
Having said that, they were pretty continually in a stall condition with large bank angles in addition to having an initial speed discrepancy which probably had them In the A330 version of abnormal attitude law which is alternate law for unusual attitude recovery. That’s a guess based on my understanding of A320 family logic.
So, to answer your question, no, I don’t think the plane reverted to normal law. And probably wouldn’t have even if they exited the stall condition. There are multiple indications on the primary flight display and the ECAM display telling the pilots they are not in normal law. I’m not sure any of them noticed.
In the perfect Monday morning QB saves the day scenario they realize the discrepancy and the stall they created, complete the high altitude upset procedure described above and set pitch and power for level flight at a safe speed. In an A320 family plane 85% N1 and 2-3 degrees of pitch is level and 245 knots indicated speed at 35,000 feet for example. Then figure out what happened, check on the cabin, change underwear and RTB.