Color temperature is pretty much independent of the size of the light. Perhaps you are thinking of lumens?
Lumens are a measure of how much visible light is produced, weighted for the sensitivity of the human eye (we see green best). Chickens/quail probably don't have quite the same sensitivity, but given that their eyes evolved to solve similar problems, it's close enough. An 'ideal source' produces 683 lumens per watt of power supplied (conversion efficiency of electricity to light at 100%). Modern LEDs produce over 100 lumens per watt (and this gets better all the time). For comparision, an incandescent bulb typically does less than 15 lumens per watt.
Color temperature, on the other hand, is a measure of color, more or less. A 'warm' (yellowish) light has a low color temperature, and a 'cool' (blueish) light has a high color temperature (counterintuitive, I know...). It's a bit of a legacy unit, from the time when most light sources emitted more-or-less like a black body (as in black body radiation). LEDs don't really do that. They tend to produce light with some pretty sharp peaks at different parts of the spectrum. If you are trying to use LEDs to stimulate certain behavior in poultry, you should check out the spectral distribution chart for the LEDs, and match it up to desired behaviors on this page:
http://web.uconn.edu/poultry/poultrypages/light_menu.html
In short, red-orange light stimulates growth and laying. This corresponds to lower color temperature, but even a light with a high color temperature is likely to have enough of the right wavelengths (remember, color temperature is basically an average). Does that answer your question?