You can use an intermediate element class for the TPageControl component
check this sample
type
TPageControl = class(Vcl.ComCtrls.TPageControl);
TForm1 = class(TForm)
PageControl1: TPageControl;
...
...
And then register the vcl style hook in the same block as the interpolator class
TStyleManager.Engine.RegisterStyleHook(TPageControl, TTabControlStyleHookBtnClose);
TStyleManager.Engine.RegisterStyleHook(Unit1.TPageControl, TTabControlStyleHookBtnClose);