No, there is just no such thing as pure white with led. All of them will either have a blue or pink shift cold or warm.
That's more defined by what you personally consider a pure white: white falls within a wide range of tones with "neutral" sitting at around the 4500-6000K range. There's many arguments of what constitutes a pure white, with the general agreement that its up to personal choice. Key point, Zebralight manufactures their H502 light in multiple temperatures to cater to what people consider a pure white (4000K, 5000K, and a 6300K model) and to varying CRI. My personal tastes put a pure white at the 5000K range, so the H502d rests in my pocket as the perfect light.
The small LED diodes we see in keyboards are likely above that, in the 6500K+ range (Cool white).
Depends. Could be process difference as well - the 87's
definitely have enough blue cast to be old process InGaN. In fact, I guarantee you that the '87 is old process InGaN. All old process InGaN lamps have a blue cast, especially at lower millicandela and narrower angles. These lamps have both. So yeah, it's InGaN.
Chances are the '88's just new process 6000K+. AllnGaP vs. AlGaAs is very much like night and day - except neither of those processes are relevant or used in 3mm because it doesn't scale downward worth a crap. Almost all 3mm's are actually InGaN process (Indium-Gallium-Nitride) which yes, is same process as with those blindingly bright blue LEDs everybody was putting on everything. The color change is achieved through adjustments to the composition which shifts the wavelength from blue to white.
Based on a variety of factors, I'd say they're probably using latest generation InGaN for a 60deg at around 3V for a roughly 6500K temperature. I'd estimate the mcd on the '08 at around 1000-2000ish and the '87 at -500 from that give or take. It's impossible to tell for sure without a professional photography setup ensuring luminosity and color correctness though.
EDIT: Typo fix. Called '08 '88. Derp.