That is true for the vast majority of "white" LED lights in which the LED element ( or die ) produces blue or UV to energise a phosphor.
However white ( full spectrum ) light can be produced without the use of phosphors by using elements which have 3 or more sources merged into a single die.
One approach to fabricate white-light LEDs is to combine devices of different materials, where each material emits a different color. The emmision of red, blue and green from the different materials can be combined to create white light, but this increases the complexity and cost of manufacture of LEDs. Alternatively, a single semiconductor can be used by mixing in a phosphor that absorbs some of the light emitted by the semiconductor and then re-emits it as a different color. However, phosphor degrades over time, limiting the useful lifetime of these devices.