Pin apparently come at different angles - it took trying several different types to get ones that fit ok on the 2 machines I replaced them - one being a recording king which I no longer have. The other is a supertone 37-38.
I've both sanded pins and used a reamer. The one I got in 2015 (cheaper then) and just used when I replaced my Supertone bridgepins when one broke is from grizzly.com.:
https://www.grizzly.com/products/Gri...n-Reamer/H5808