I've been growing SPS coral in an all-LED BioCube 14 reliably for over a year, at all depths in the tank. I haven't yet found a color or species or that's problematic. Soft corals are obviously not a problem, I've seen reliable growth from Zoanthids, Sympodium, Mushrooms, Cristata, etc.
As far as SPS is concerned, I am currently growing: M. Setosa, M. Undata, Montipora sp. (Purple Haze, Sunset), Montipora Digitata, Anacropora sp. (Blue), Acropora sp. (Wintergreen Stag, Neon Green Stag, Limeade, Red Planet, Raspberry Shortcake, Red/Green), Acropora Tenuis (blue), Acropora Tortuosa (blue), Acropora Humilis (Green/Sky Blue), Acropora Millepora (Raspberry).
I've also grown but don't currently have: Seriatopora (multiple), Montipora Capricornis, and multiple other Acropora and Montipora.
The lack of UV light is an interesting theory, however it's just not supported by my experience (zero UV LEDs in my tank). That said, I'm sure a broader spectrum would be helpful on the whole. My frag system going up will have UV LEDs, so I might have some personal experience to share in the long run.
Whether or not LEDs can grow SPS as quickly as Halide, however, is a separate discussion. I'm still willing to lean on the side of Halide's effectiveness with the broad spectrum for growing SPS.