the airplane will settle into the proper attitude through rotation (747).
Maybe that is true for the real aircraft. But in one 737 simulator I fly this is not necessarily so. For example with the simulator, taking off with a substantial crosswind component from the right, even with the appropriate amount of aileron held to the right, left rudder will be needed to maintain the centreline. That is normal of course. As soon as the aircraft is lifted off the ground the simulator initially rolls/yaw markedly to the left possibly due to left rudder not being instantly removed. Then split seconds later some rudder and aileron juggling takes place to ensure the aircraft turns slightly to the right to track the extended centreline.
I don't recall that happening in a real 737 although that could be because we rarely experienced 35 knot crosswinds in my part of the world. Could be a fidelity problem in the simulator ?