What do you mean by the "thin styler"? As far as I know, when I bought the Dyson Airwrap, there was the "Complete" set (for normal length hair) and the "Complete Long" set (for longer hair). We have the "Complete Long" set. I don't know if the attachments in the "Complete" set are thinner than ours. Incidentally, the link you sent me also leads to the "Complete Long" set...