For most time original manufactures were stick to dual core tablets, but the availability of quadcore processors gave a very good boost in the marketing strategy for white-box tablet manufacturers. Still today they are being to make changes in their models very fast and with-in very short time they flood the market, like calling tablets. Since the market is very vast, and availability of the technology is for all (goodness of Google Android), many new processor from less known brands are also being accepted very fast.
Yes you are right, but in that case we will have to get rid of the term "White-Box", as there are many very good Android Based devices that are way beyond the "Original Boxes", and this is the places where Intel Processors are being used.
@Junko: from the news releases and your article above, it seems like Action Semi's focus on 28nm chips for 64-bit CPU for tablets, high-end set-top boxes and RF / audio processing for single chip SoC for Bluetooth boomboxes, 64bit processor for Chromebooks, etc., all seem like me-too type products and not much in differentiation (from those of Qualcomm for example). It would seem to me that Action has to offer lower cost chips in the foregoing markets to be competitive which does not help its bottom line... quite a quandary to be in!
I'm not sure that consumers care much whether they have 1, 2, 4, (or 16) cores, as long as the performance is acceptable.
The two major influences on the consumer's enthusiasm for slabs appear to be screen (resolution and brightness) and battery life. These are conveniently mutually contradictory, so the vendors have to dance around a multi-dimensional space, looking for the hot spots. Sharp and bright are "shiny", but socket-separation anxiety lurks in the background, muttering "How long, really?".