No sir, there are plenty of them (exactly 14 from OptSpace*) with plenty of functinality, but none does a generic padding after caption text, before either close button or right border appears.
Actually i use those (from code, not designer):
// OptSpaceSide,OptSpaceBetweenTabs,OptSpaceBetweenLines OptSpaceBetweenIconCaption
// OptSpaceInitial OptSpaceBeforeText OptSpaceBeforeTextForMinWidth OptSpaceSeparator
// OptSpacer OptSpacer2 OptSpaceXRight OptSpaceXInner OptSpaceXSize OptSpaceXIncrementRound
OptSpaceSide:= 0;
OptSpaceBetweenTabs:= 1;
OptSpaceBeforeText := 6;
//OptSpaceAfterText := 6; // --- Such does not exist ---
OptSpaceBetweenIconCaption := 2;
OptVarWidth := True; // I want to have variable tab with
As told, not an issue or such (because one might imagine a variety of special cirumstances of course), but i simply did wonder.
Small cosmetics to assure a bit to not close the tab unintendedly when clicking onto a small tab when using variable tab width.