  Recently, it has been proposed that the butterfly velocity - a speed at which
quantum information propagates - may provide a fundamental bound on diffusion
constants in dirty incoherent metals. We analytically compute the charge
diffusion constant and the butterfly velocity in charge-neutral holographic
matter with long wavelength "hydrodynamic" disorder in a single spatial
direction. In this limit, we find that the butterfly velocity does not set a
sharp lower bound for the charge diffusion constant.
