Thanks for the link! I think their combination stone is a lower end one: http://www.axminster.co.uk/recno/4/p...ones-22468.htm. It is described as a beginners' stone.
The one I am looking for is a King Deluxe stone.
The one on the left on this pic may be a Deluxe hone: the word "KING" in a circle.: http://www.axminster.co.uk/showimage...title=Japanese Fine & Polishing Waterstones
I am not sure that one has many advantages above a coticule or Thuringer followed by stropping.