It sure does tighten (expand) the ball in the barrel. I found the tapered Track ball pullers to work VERY well, better for me than the home made ones I made from wood screws.
I think the reason for that is the thinness of the blades and small diameter of the centre shank.
What is important is the bore sized 'rider bushing" above the screw, so that the screw is "turned" into the centre of the ball to be pulled. If it is off to the side, it can score the rifling
and create patch-grabbing/fouling trapping burrs.
Thinking out loud here, it might even be why some people get "fouling" above the ball seat. A burr will also cut or damage the patch as it goes by and promote burning or other failure.