Actually, a lith developer is in my experience a staining developer. The stain contributes a little to the image tone, but it's usually overpowered by the tone of the small silver particles. Make a lith print and bleach it back, you'll end up with a weak stain image.
Btw I did some testing with a one shot staining hydroquinone developer for film some time ago. Worked quite well, but obviously it didnt last very well as working solution; a little less so than pyro developers. There was significant staining, but not as much as with pyrocatechol.