White balance is one of the most critical settings, expecially if you take photo in JPG and you have not the chance to re-tune your white balance in the raw processing.
Sometimes however, a wrong white balance does not end up in a wrong picture. In the film era, we had not such a fine tuning control of the white balance. We had tungsten film or daylight film. And we survived. We can use the illuminant as a natural color filter, to add some magic colors at our scene. For example, in the studio, on the left we have a perfecly illuminant white balanced light, so that the gray background stay gray. Nice picture but a little bit flat. On the right, we add a more drammatic and color contrast effect, simply using the wrong white balance on the camera, so that the illuminat looks at higher temperature, and the background becomes blue. Blue is the opposite color of the skin tones, and the picture... works better.