Here is the problem and I see it frequently..power comes up, no forward pressure on the yoke and no hint of crosswind correction on the ailerons. Around 80 kts, directional control begjns to suffer and by 100 kts the nose wheel begins to get light. At 120 kts we begin to get nose wheel skip and any attempt to correct is just a guess and at vr the airplane gets hauled into the air like a sliding, skipping upwind wing high ugly duckling.
In the 737,with youre average 25- 45 kt crosswind the yoke goes forward and the aileron goes slightly into the wind mostly to remind you of wind direction and speed. As speed increases above 80 kts those inputs are adjusted to maintain good positive nosewheel pressure on the ground and positive down force on the upwind wing. Just prior to vr the nose down force is neutralized and smoothly turned into nose up force. The downforce is increased on the upwind wing so that so that the airplane lifts off wings level or slightly upwind wing low. With the gear coming up the rudder takes over and yaws the airplane into the wind and the ailerons are are relaxed. That is how a 737 is flown off of short, slippery runways with 25- 45 kts of crosswind.