Having lamps with different light temperatures will drive the White Balance of the camera "nuts", even manual white balance will only allow you to set a compromise. That might affect colors.
These days with "energy saver lamps" everywhere chances are that all lights have one temperature but "back in the old days" normal bulbs in the overhead lights and daylight bulbs in the photo lamps had interesting effects.
If the source lighting the light tent is a lot brighter than the overhead light this might not be visible since the overhead light is basically drowned out. Same with a flash either set manually or if the camera uses it as the main light.
If on the other hand the camera uses the flash only as a filler (As do Canon DSLR in Apperture and Time Priority

) than you are back to square one and need to adjust the temperature of the flash using colored filters (commonly called Lee Filters) Fun and Games! Fun and Games!
Bonus points for setting the camera to manual white balance and then forgetting to switch it back to Auto. Took me a while to realise that neither the camera nor the lense was the problem with the "sick Vulcan" look on the outdoor portrait shots.