Yes, white LEDs are based on blue LEDs with phosphors. But I don't think they convert all the blue light, so they're still heavy on the blue output. I'd need to see a reference to believe they have less peakiness in the spectrum than fluorescent lights.

CRI may not be the best rating for spectrum smoothness, but it's the only one we have for now. It's still hard to find bulbs that even bother to rate themselves.