I don't have a Binsui to answer that difinitively.
The Ohira Suita cuts very fast for its hardness/fineness due to the Su (holes). However, the scratch pattern it leaves is very fine and MAY not erase the deeper scratches from a Binsui. An intermediate stone such as an aoto or equivalent MAY be required.
Comments on a full Jnat progression are in the JNAT Club thread, amongst other places on the forum.