When in doubt, consult the ring manufacturer for instructions. Typically, they will give dimensions, suggestions for the grit or RA of the hone for the ring materials involved, and gap suggestions. If you find any of them that recommend putting new rings into a worn smooth bore, then they think it will work on their rings. I haven't talked to any ring maker yet who has prescribed such a method.
Regarding a good cleaning of the bore to remove any unwanted material in the crosshatch, I have no argument against that.
Cast iron second ring is okay, but I would not use a cast iron top ring, and ductile iron or steel/chrome top ring is more suitable, and pretty much standard practice for the last few decades.
We follow the ring maker's guidelines.