Recessive white X black does not yield black--it all depends on the genes the white is hiding.
This isn't so. Recessive white is recessive to black. I found this out with my Jersey Giants. I had a black roo in with my white hens, and all offspring were black. (White JG's are recessive). When I crossed one of the resulting black roos back to the white hens and hybrid black hens, I got some recessive white offspring. Blacks can be carriers of recessive white and not show it.
You can tell if you have a recessive white chick at hatch by it's down color. They will be what is called "smoky", a silvery color resembling a light blue or splash chick, but will feather out pure white.