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One must remember that AWB is the camera's best guess at the correct color temperature. In certain situations any camera is capable of getting it spot-on correct, or missing it by a wide margin. If I understand the question correctly, your asking "is there a way of predicting how the K3 will guess the WB vs. how the K5 makes it's guesses?" The answer is effectively, no. There may be some method to the madness, but for the variety of lighting conditions one encounters when shooting, it would be hard to make a generalization.
A better option is to purchase a good white balance target, and take the few seconds to set a custom white balance when color accuracy really matters. There are numerous types on the market, I prefer the gray card type to anything that covers the lens. The granddaddy of them all is the Xrite Colorchecker Passport, because it not only has several white balance targets, but in Lightroom, you can also build a color profile for the lens/body combo, and correct the sensor output. Pentax cameras like Nikons tend to desaturate the blue channel for instance. This makes skintones look better but at the expense of things like blue skies. This is true even when the white balance is set properly. The CCPP corrects that, it's amazing the difference that it makes.
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