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That "blue washed out" look isn't the color temperature, it's the 65 CRI of that bulb.
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Yup.
You'll notice most LED bulbs don't have their CRI printed on the box. There's a reason for that, most suck.
The color temp of sunlight (K/Kelvin) also changes throughout the day, think about noontime sun vs. evening sun.
I'm a light snob and can't stand anything "blue", which to my eyes is above 5K. 4000K-4500K is the sweet spot for me, below is yellow above starts into the blue.
4K LED bulbs with High CRI aren't easily available, but you can find them on the web. Hopefully that changes as Cree and Nichia's newest line of emitters are available in High CRI variants in a very wide spectrum.
ETA: Sorry, didn't really answer your question, see below.
Here's a graphic of the change in sunlight spectrum, sunlight varies from 2000K-6500K. Also, the reason you prefer "warm" light has to do with our biology, warm light (more yellow) is seen as relaxing while cooler (more blue) keeps us more awake or alert.