Not knowing what you’re using the projectors for, I would say, as a general rule, that a 3-chip DLP projector will give you a better image –
Typically, a 3-chip DLP will give you more accurate colour reproduction, and less of a “pixel mesh” effect (i.e. very sharp individual pixels in the image, which is undesirable particularly for video applications).
I’ve used the Christie HD8K which is very similar to the DW8K, and I can say that it is indeed a good projector. You will notice the greatest benefits from DLP (compared with LCD) if you are edge-blending the two projectors to create a widescreen image – 3-chip DLP is generally much better at this.
Also, you will probably find that the lamps used in the Christie are better, and yes, the quality of the lenses will provide a truer light output… just not (close to) twice the ANSI lumens worth…
The question is whether or not you need projectors that bright – true 8,000ANSI lumens are likely to be suitable for most indoor venues with reasonably controlled lighting conditions for screen sizes up to, say 20ft wide per projector. Perhaps the ANSI lumens drop is worth the increase in image quality.
Also, consider other LCD projector offerings if they are available to you – Sanyo, Panasonic, and indeed Christie make comparable LCD projectors to the Eike projectors you’re considering, and differences between the models such as price, weight, power consumption, lamp life/cost, lens range and lens quality, lumens output, and panel resolution might be considerations for you.
Hope this helps!