There is a lot of marketing around broad spectrum fluorescent.
But there is little difference in the practice between both. Regular fluorescents emits with strong peaks in narrow bandwith. Triphospor fluorescent, tipically having CRI over 80, has a peak in blue, other in green and another in orange/red. They has good CRI, but the risk of narrow emissions is to saturate some colors and unsaturate others (tipycally, in the red side). Broad spectrum fluorescents avoid this behavior, with the cost of reduced efficiency.
Personally, in the practice, i didnt notice mayor differences, but im slighty daltonic

, so im not the more indicated person to share my visual impressions.