In all the Boeings from the 727 up to the Whale, the takeoff run is started with the wheel neutral. As you know a plane is nothing but a big weather vane. If the wind hits the right side of the vertical stabilizer the nose will want to go the right. Thus you need left rudder to offset the effects of the crosswind. The amount of left rudder input will decrease as the speed increase and the airflow over the vertical stabilizer takes effect. At the point of rotation, not being a Microsoft or simulator pilot, attention is outside the cockpit and not at the control wheel.
That said if I maintain left rudder input with the wheel neutral at rotation the aircraft will veer left and eventually roll left too. Thus you need to input right aileron. How much? Like I said, not being a simulator or Microsoft pilot I use sufficient aileron to maintain a wings level constant heading at the point of lift off. After liftoff then the aircraft is deslipped by neutralizing the controls and finding the proper crab angle to maintain desired track. Nothing scientific about a crosswind takeoff. Works the same way in Cubs, Stearmans, Pitts, Extras, Cessnas, Beechcraft, Commanders. I will say the only aircraft which is a bit twitchy on crosswind takeoffs was the good old reliable Aircoupe... no rudder pedals
!.