As you probably have noticed there are no painted minis showing up for Kamakura's Hussars as we currently don't have any painted examples on CSO. The Gallery pages only link to units which have painted examples.
But rest assured, slowly but surely we are working on getting painted miniatures for all missing units and as soon as we have one for Kamakura's Hussars the unit will show up in the Capellan Confederation Gallery listing.