But that's pretty much the problem (same as the JPG problem). The settings we made in the camera a few months ago have no bearing about the exact scene in front of us right now. Even if we try to set them each time, the camera white balance settings are rather simple (crude, offering only a few fixed possibilities), but the scene lighting can vary all over. There are many colors of incandescent and fluorescent, and flash color varies with power level. Even daylight includes bright direct sun, sunset, cloudy, etc. One size does not fit all.
So the huge advantage of raw is to be able to forget about the camera settings (except exposure and focus of course), and simply make them after we can see the image, when we can know what is needed, and know what we are doing.
Auto WB is poor accuracy, but it is an approximation, and I use it with raw, just to see the rear LCD preview a bit better than not. It does not affect the raw data, but the rear LCD and the histogram are based on the camera settings from a JPG image also embedded in the raw file. But while knowing that it really doesn't matter what the WB was, I'll fix it right later, after I can see it. There are easy ways to approximate WB closely, and also easy ways to do it precisely.
White Balance Correction, with or without Raw
The Nikon software does know how to access the camera settings in the Exif (of limited value, see above), but it loses the Adobe advantages of working on several/many/all of the images in the same one click (if in the same lighting). That's a very big deal for me. It really speeds things up.
I would offer
Why shoot Raw? for anyone interested... esp the video near the top there.