An interesting tropic. Missed this when it was posted.
WB, under the smartness of most cameras of today, could do a very good job IMHO. Hence, very agreed with you that Auto WB can nail it most of the time.
However, auto is auto, there must be "OOP". Complicated lighting condition might confuse the camera. When light is getting bad it can also affect the sensitivity of the system, or for creativity purpose the WB thought good by the camera might not work for us.
Among the non Live View based system (DSLR mostly), it could be their bigger concern since they could only look at the result before capture the shot. To reduce the trouble they need good experience and knowledge on their camera, set the right preset WB but still on a trial and error base. For more difficult/uncertain condition, they might have to set up a customized WB.
We are blessed by our Live View based cameras (MILC or compacts). Generally the color tone (WB) of the image to be captured can be observed in evf/LCD before the image is taken. There might be discrepancy between LV image vs reality but the gap is getting smaller on newer models.
AFAIK live view of the latest FZs are doing very well on this front.
Therefore the simplest is to make good use of the LV IMHO. If it would be too off (too warm or too cool), we should be able to see it before capturing. If Auto WB does not nail the color (or you do not happy with the result), can just test the result through the various preset WB before capturing. But I know many shooter might not put observation on color tone onto their standard checking list before hitting the shutter button. Color tone indeed should hold the same important as Composition, Focusing, lightness distribution, saturation and contrast...
The following was a snap shot took on a trip to Transylvania a few years ago. My wife took the shot using AWB as below:
However, it was looking too warm in evf (= reality because tungsten light blubs were the only lighting source there) to me. I felt a white marble stone sculpture should be whiter. Hence I changed Auto WB to Fluorescent WB for a cooler output as below:
Generally if the preset WBs would not serve my purpose, I would set up a custom WB. I use the following WB adjuster lens cap (few US$ max) which had served me well over the years. I have one always inside my camera bag.
BTW, the exposure (brightness) might also affect the overall color tone as well.
I found many posted images are too warm (specially those from Olympus) or some are too cool (specially from the earlier Panasonic) or some are too artificial because of the film simulation effect (from Fuji?), however they were proud samples from their shooters! As per my samples posted in above, there are still strong differences between me and my wife on which one is better

!
Therefore it is just a matter of personal taste of individual shooter. Nothing right nor wrong IMHO. Therefore as long anything will work for you, it is fine. Don't over think of this.

Source:
https://www.dpmag.com/how-to/shooting/what-is-white-balance-on-your-camera/
Finally if you take RAW, this will be a non issue.
Happy shooting.
--
Albert
** Please forgive my typo error.
** Please feel free to download my image and edit it as you like

**