I use a wrap on self nocks but not necessarily on splined (reenforced) self nocks, no matter if it is cane, cedar or hardwood, shoots or dowels.
The 2 on the left are black walnut dowel arrows, then a sourwood shoot arrow and a hill cane arrow, all with sinew wraps below the self nock...
these are cedar shafts with rawhide splined self nocks and sinew wrap...
these are fully tapered ash shafts with osage spined self nocks and sinew wrap...
these are hill cane arrows with self nocks and sinew wrap...
...and then you have these hill cane arrows Art Butner made for me with maple footed self nocks and maple point footing...
the cane is wrapped with thread set in superglue below the nock but the point footing is not. Note the color difference in the cane and maple footing. This joint is a long taper. I've only broke one of the footings loose when I hit a rock hard. Been shooting these arrows for 5 or 6 years now...