A lot of uv ray is blocked off by glass, so for most people the uv ray exposure from fluorescent lamps is negligible. That's why you don't get sun tan sitting at dinner tables all night. A lot of us also use lamps that have another layer of decorative translucent glass shell over the bulb, so that provides more protection against stray uv rays.
I think those people interviewed in the show were sitting very close to a high power fluorescent light that does not have the additional decorative shell covering the bulb.
Anyway we are gradually shifting to led bulbs.