Some people do a strict crab technique, and only put the rudder for the landing. I was trained similar initially (pre-Airbus) by what was an ex-anhedral instructor group.
The video shows them a bit on the downwind side at the threshold markers, correcting back to center line. The G/A is initiated about 2 sec before the climb out (my guess).
They never reached the point when the rudder would had been put in. For a strict crab technique.
Maybe not the best choice in such a gale.