In practice vast majority of scenes are not illuminated (directly) by a blackbody source, so for white balance purpose its inherently crude tool to achieve a color look, and often there is no "correct" color temperature setting for a scene
Yup, of course. That's why software like Lightroom usually has a "tint" slider next to their colour temperature slider. It's just that "colour temperature" seems like a pretty weird turn of phrase (and the article seemed pretty befuddled by it), so it's worth knowing what it actually means.