The color temperature is not the issue in how fluorescents look. The color issue is that there are a only a few phosphors in the bulb, and so all of the light coming out is at just a few discrete wavelengths. An incandescent produces a smooth combination of all wavelengths in the visible range. The light from a fluorescent looks like the right color on a white surface, but many dyes reflect specific wavelengths of light. This means that colors under even good fluorescent lights look different than under incandescent or daylight. LEDs have the exact same problems.