LED's need phosphors to emit the rest of the spectrum, and, don't tend to emit it in a homogeneous fashion. Even halogen and incans, etc, may lit up a woman's hair/materials differently than the noon day sun, or dawn light, or dusk light tends to.
This is one reason a woman's make up mirrors, lighting for formal wear, etc, may use lighting that simulated the conditions that are expected to be present when wearing it.
And, again, warmer is NOT high CRI per se...so to keep using the terms as though they are interchangeable misleads the newbs wrestling with the issue.
A warm light is describing the COLOR/Tint of the LIGHT. Period.
Many high CRI lights are warm...but that doesn't mean warm lights have high CRI.
Its like many Ferraris are Red. Ferraris are fast. Being fast doesn't mean its a Ferrari. Being Red doesn't mean its fast.
We might PREFER the look of a warmer light...but its a preference, and, really, that's all. Again, using a yellow light (Essentially what a warm light is, and, the rest is merely HOW yellow it is...), makes some colors pop, and, makes others harder to resolve.
It DOESN'T show all colors better.
In a LEO/Military setting, the topic here, the loss in illumination is not worth the yellow...and, its not even on the table one way or the other, as tint issues are more of a connoisseurs' dilemma than a tactical users' concern.
Its about as relevant as a GQ article titled "Zombie Apocalypse! Which cufflinks?"