How Can I Create A Point With Crosshairs On The Defpoints Layer?

When I change the system option for what a point should look like, this takes effect on all layers EXCEPT THE DEFPOINTS LAYER. Is there some reason why this setting does not affect the Defpoints Layer? Are there other special undocumented settings or features for the Defpoints layer that I may benefit from knowing? Would I benefit from deleting the Defpoints Layer and creating my own new layer with which I would then have total control? Or is there some downside to wanting to have that control?