Effect of a capacitive or inductive divider on noise
A reactive attenuator will not have a constant input or output impedance, which is a serious disadvantage in many cases.  Especially if you need to measure 'DC' or close to that, the capacitors become open circuits and the inductors shorts, neither of which is very useful. Large value inductors and capacitors are often significantly less ideal.
Offhand I can't think of a situation where it would be useful. And if you're noise-limited, why are you attenuating?