CRI should actually somewhat capture that. If your spectrum looks drastically different from daylight, it will affect color reproduction.
https://www.crslight.com/images/kelvin_cri_comparison_chart....
CRI cannot be the issue with GGGP because he writes that LEDs "are still awful compared to incandescent bulbs" and we know that incandescents (being very low in the blue part of the spectrum compared to its output in the orange and the red) have worse CRI than even the crappy LED bulbs.
CRI is also not why I dislike most LED light bulbs either.
