Sciolistes,
I agree with your suppositions, that makes perfect sense based on data available publicly. Early GA suggests that the second landing attempt was "let's give another try". The main plan was to divert. Once GA maneuver looked stabilized, I guess both were programming the FMS for new destination, possibly unaware of A/P not engaged and the g factor shadowed by strong turbulence in clouds. Maybe they never noticed the runway lights coming up very fast.