Having flown over 8000 hrs on the 737 and having benefitted from training by the chief test pilot himself back in the 70's..the 'crab -decrab' method of crosswind landing is the best and will always allow the airplane to be positioned straight down the middle of the runway in the worst of cross winds. This method also works on the 777.
Maintain the drift angle until flare, then begin feeding constant rudder and aileron into the wind to maintain wings level. The airplane will be perfectly positioned on the center of the runway and no drift down.