Your Bannerstone would be classified as a "winged" type or a "butterfly" type Bannerstone.
There were two different methods used for forming the holes, and both were used contemporaneously (at the same time) on winged and butterfly Bannerstones. The hollow core method leaves thread scars in the hole, the solid core method used chert tools to make the hole.
They sometimes left vertical scars through the length of the hole, but no thread scars.
The number of archeological sites that have rendered winged and butterfly Bannerstones along with atlatl hooks (bone or antler components of a spear throwing device) has demonstrated that Bannerstones were used as counterweights on Atlatl shafts. I see nothing whatsoever unusual about the hole on your solid core drilled Bannerstone fragment.