This WTL Cool Tabs class is not cool at all. In FACT, it doesn't display anything!
It's a Tab control framework, adding support for the things Microsoft left out of the original common control: Custom draw support, insert- and delete-item Notifications, position Displacement and other fine features like that.
The control is actually a completely custom Control, which in its Paint event sends out NM_CUSTOMDRAW notifications to its parent. It sends out CDDS_PREPAINT, CDDS_POSTPAINT and CDDS_ITEMPREPAINT events as most of the other Common Controls do.
So to draw your own custom tab control catch these reflected notifications either from a class derived from the generic CCustomTabCtrl or from the control's parent.