I've bought 2 L00 backplates from them. One is on a Jacobs spindle nose collet chuck, and the other came with, but separate from an imported 6" 3 jaw chuck. As you did, I got nowhere with hss lathe tools while cutting them to fit my chucks. They are both repeatable when mounting them on the spindle and both properly pop off of the taper with the the collar being unscrewed.
To check repeatability, dismount and mount the backplate after you are done cutting it and check the runout. I bet runout will be zero after you cut it and just a few 10ths when remounted.