1) No reason that they wouldn't (except for the red/orange/amber colors, since they are a totally different materials/structure). All blue/green/white luxeon I/III/V use the same physical structure and current spreading construction, so there's no reason why the blue/green/white K2s wouldn't all use the same dot-pattern.
2) No, it is because the lighting was incandescent and the white balance on my camera was either set to auto or daylight (giving it a yellow cast). Phosphor over an LED die completely covers it and masks any details of the surface. In fact, a K2 die and Lux III die will appear much more similar than the two above do. In the above picture, if it were a white K2, die (the square part in the middle) would be a slightly larger yellow square, similar to this:
This is a Lux I high-dome die. If you look closely, you can barely make out the shadow of the grille pattern. You might be able to see hints of the dot pattern on a white K2, but it won't be obvious, and the two will appear very similar.
You will see an obvious difference in that the K2 package is square, not round; has two power leads on each side instead of one, and has a hexagonal heat sink slug, instead of a round one (as viewed from above).
The red/orange/amber K2 dies appear unchanged vs. their Lux-I counterparts.