You may be right about the averaging. From rereading the accident report, the Pilot Flying took back control of the plane after the Pilot Not Flying engaged his controls and tried to pitch down.

But, it’s the same basic idea. The PNF thought he’d gotten control of the plane, and didn’t understand why his input wasn’t having an effect. He didn’t get feedback from the stick telling him a different input was being honored. And neither pilot appears to have been fully aware that they were in a flight control mode where there was a risk of stalling. The PF especially never seemed to have made that connection, and the PNF took a fairly long time to call it out. As a result, the PF may not have been aware that he needed to actively keep the angle of attack inside the flight envelope.

So, PNF tries to pitch down, but isn’t aware the plane got put back into a mode where he isn’t in control. PF is pitching up, but isn’t aware the plane switched to a mode where this could lead to a stall. That’s the similarity I was getting at.