Your question reads like you are wanting to burnish the "crown" of the tip.
You want to burnish the sides only. The fuzzy crown will hold chalk.
I use saliva and a business card wrapped around a shortened lenght of paint-stirring stick.
Saliva...free.
Stick....free from the paint store.
Business card...ask any insurance agent or banker.
Advice...priceless.
In my opinion the Porper burnisher might twist the tip right off your stick, and its inner conical shape will give your tip a tapered shape rather than paralel sides.
