I find a white base in a lipstick can make the colour look chalky when applied. To my eye, it also (negatively) affects the wearability of colours of similar depth and brightness; with a white base there is something more unnatural/jarring about the colour, as if it sitting on top of the lip.
Here are swatches of three superficially similar brightish pink lipsticks from different brands to illustrate what I mean:
However, the shade on the left also has a whiter base than the shade on the right - it's like the bright pink is sitting on a white base. With the shade on the right, the pigment appears suspended in a clearer base.
Here they are applied - top to bottom is left to right in the swatches.
The bottom/right swatch is a noticeably clearer/brighter pink on my lips, but it is also (to my eye) more wearable than the top/left shade, which has a more chalky quality.
I've learnt that white-based lipsticks don't work for me; I need clear colour to be flattering with my colouring. For someone who finds vivid colours to be overpowering, the opposite may be true.