White balance refers to compensation of the color of light, such that a white object will appear white, regardless that the light illuminating it is some other color. Because very few lighting sources are truly "balanced" across the spectrum of light, white point becomes important. The issue is that our brains usually are pretty good at converting this information for us in a way that we don't notice it.
Obviously, though, if the image is of green grass the histogram ought to be weighted towered green, and you'll get a huge spike in the green channel towered the right and a huge spike the left in the red channel. This is because a large number of the green pixels are in the higher values, while in the red channel a large number of pixels are in the lower values. If you tried to get them to line up, you'd have a lot of red where only green should be, and you'd strip the grass from all it's cyan hue.
This doesn't mean that their is no specific white balance, even if there is no white point to measure. Under such monochromatic circumstances, "auto" is not going to be accurate, and it will try to correct based on what is available, pushing the image towered magenta to compensate for what it sees as "green light" since there must be a white point in there somewhere.
Very persnickety photographers will use some kind of white point reference for a given lighting scenario, such as special frosty lens caps that are horribly overpriced, or grey cards in order to use a cameras built-in "custom" white balance. Though these don't work so well in mixed light situations, such as night photography.
In this image specifically, you could set the white balance from any of the light sources, and any of them would be "correct" for that area, but would be incorrect for areas illuminated by some other source. In this case, I would choose one of the mercury lamps since those have the broadest spectrum, and are thus closest to "white". Because they tend to be a bit bluish, this will make the sodium vapor lamps more yellow. But i since we render sodium vapor as yellowish, that shouldn't be a problem.
Overall, there is no specific white balance because what is illuminated is illuminated by a variety of color temperatures and hues.
The website may be correct if it is saying that the histogram over some specific neutral reference should line up. This is correct, but not the entire image.
Let me know if you have any questions. I'm not always the best at explaining stuff.