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I guess for most BLF user 4000k is rather neutral than warm. Warm is 2000k-3000k
I like warmer tints, so I chose 3000K. 
+1 3000K
That light is pretty short but the other two dimensions, head size and tail cap size, realistically mean it’s competing against 18350 lights. They get a whole lot more run time in a package that’s really not much bigger. Especially when you mount it on that giant stainless steel plate. I have to assume that that giant plate is somehow very comfortable or you wouldn’t be using it. For me even 18350 is too small. So yes you should have started with either 3000 or 4000k in that light but I don’t think there’s a large market for that size battery in a headlight no matter what led is in it. For any future EDC lights, yes please 3 or 4k hi cri.
4000K, 5700K, 3000K comparison.
I think it depend on the uses. If I use for hiking in forest, or doing work, I prefer a cooler light which help in throw and more suitable for this situation. That I will prefer 4000k because I still like warmer tone.
If I am using the headlamp for less ‘bright’ activities such as inside a tent, or just walking around dark camping site or cabin, then 3000k is more cozy feeling. I think my idea headlamp is:
- 4000k to 5000k lower cri main light with high efficiency for hiking
- 2500k to 3000k high cri flood dim light for near-use (such as inside tent)
- small red led for night vision use
thank you