Adding sulfide to the sulfur can very well add optical density, especially in the shadows. After all, you end up with silver sulfide instead of just silver, and at high densities, the brown hue of the sulfide will simply add up to the already present (more neutral) density of the silver, resulting in a higher density. That density will have a brown hue to it, but the human eye is generally not very good at picking up hue variations at low light intensities.
Other than that, I think the effect depends on a host of factors, such as extent of bleaching, formulation of the toner, paper used, etc.