"rudder back and forth to crab"
The conditions are turbulent, which requires rudder to stabilize yaw. (Some amount coming from the pedals, some from the yaw damp; how much of each, who knows) What does this have to do with the crab?
[crab] "instead of making a ... turn" These things can't be instead of each other. They are necessarily two separate phases of the landing, regardless of any technique variation. The turn is the termination of the crab, and the initiation of alignment of the nose to the centerline
"movements of the ailerons ... to accommodate for gusts" that cause roll deviations. What does this have to do with the rudder?