I have real problem with colour-perception in LED lighting - board game evenings are tricky when I can't tell the piece colours apart so well. Feels like it's just me though...
And trust me, it would be much better with LEDs though obviously not perfect. Sometimes the colors just aren't different enough to easily tell apart. It seems like an issue that should be fixed.
But still beware, the CRI printed on the box (Ra) is kind of flawed since it is measured on unsaturated colors and does not include information about color renditions of red objects. You would have to look at the R9 value as well.