OK, I think I understand what you mean. The problem, as I understand it, occurs a shutter speeds higher than 1/60 of a second. That explains why I have never encountered a problem with it. When I have used fluorescent lighting for photography I use a fairly small aperture F8 being the fastest, and quite often F16, F22, or F36. That requires me to use a slow shutter speed and a tripod. I appears that slower shutter speeds don't have a white balance problem with fluorescent light.
Thank you for the information! It is alway good to learn something new.
Here is a link I found: Problem with fluorescent lighting and sutter speed
P.S. Now I have another reason to prefer natural light.