With that type of wind in that direction, the R44 will not run out of pedal. The type does not suffer from LTE, the tail rotor is extremely efficient. The aircraft can oscillate in the yaw axis as the tail rotor catches the vortices from the main rotor, but it’s controllable.
I would have thought the aircraft would want to weather cock into wind (nose to the left in this case) coupled with the increased power to climb out of the CA, was there a left yaw, which happened quicker than anticipated, which surprised the pilot?
However, if you’re heavy on the pedal inputs, you can droop the rrpm as the governor can lag.