after Schmidt et al. the" tangential curvature is calculated perpendicular to the slope gradient". This might be indicatiing whether you have a confluence of flow, i.e. a linear water flow or diospersion of flow. The latter would not be modelled with a simple D8 FLOWDIR in ArcGIS and needs for self implemanting.
Besides, I was working in the same group as Jochen Schmidt and he found that some of the geomorphometric analysis tools in ArcGIS weren't working as expected. Might be better today but vigilance is required.