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About chromaticity: Chromaticity - Wikipedia
“Tint” is represented on a chromaticity graph by means of coordinates. These coordinates, the tint, will change with current. The “Forward Current vs Chromaticity Coordinate” part of an LED datasheet is this information.
Various LED tests on BLF illustrate how tint shifts with current. Here for example is a chart presented by Maukka in a test of Lumileds Luxeon Z ES 5700K CRI90 (LXZ2-5790). (thread link)
Usually LEDs have a higher DUV at lower currents. Many LEDs are perceptibly green or yellow at low currents but become more neutral and pleasant at higher currents.
This is why LED lights with PWM can offer a better tint at lower brightness. The LED is still seeing a relatively high current, it is just being pulsed on and off very quickly to change the perceived brightness.