Both are correct - in their own way.
The color of light emitted from the die itself depends upon it's chemical composition and that in turn decides the V/I characteristics. The newer designs of LEDs, in particular the brightest ones produce visible light using a different method, instead of the die itself producing the visible color, it excites a phosphor material that in turn produces the light. Different phosphor chemistry decides which color is produced.
It's akin to fluorescent tubes, it the paint inside the glass that produces the light, not the gas inside.
If you think about al the masses of small modules and devices on the market these days, mostly running on 3.3V or less, they wouldn't be able to drive LEDs with the voltage available according to the charts but clearly they can.
Brian.