It is correct to say the autopilot disconnects, and will not reconnect, when there's AoA disagreement. This is mentioned in the emergency Airworthiness Directiv

It is correct to say the autopilot disconnects, and will not reconnect, when there's AoA disagreement. This is mentioned in the emergency Airworthiness Directive as one of the indicators for MCAS upset. It's not unusual to engage autopilot during climbout, I only see one explicit instance in the preliminary report for autopilot engagement, and two warnings, and two disconnects.