Lonewolf - you're trying to assume a rational reason for raising the gear again.
I would suggest that this crew was so far off into the woods, throughout the approach, that hoping for a rational reason for anything they did is a lost cause.
It is like seeking a rational reason why a trained pilot would hold an aircraft in a stall for 38000 feet (AF447).
But absent the CVR, I would point out that in climbing away after the runway scrapes, the same crew briefly lowered the gear (before quickly raising it yet again).
They were simply not in touch with observable reality