Calibrating the display will give you accuracy, ie the colors match those in real life. It doesn't help with precision, which is how narrow the distribution is. (That said, we're not strictly talking about that here, since there's no randomness in the colors, just an inability to reproduce small enough changes.)

But I agree with the other comment, on a laptop I care more about things looking nice, ie no dither or banding, rather than about accurate color reproduction.