I have several sets of Brad Point bits, some expensive, some mid range. But a problem I find with a lot of them is that the tip is not always very central or runs true. I can put the bit in the drill press or on the lathe, and the whole thing runs true except for the point on the end. Which is very frustrating when you have marked a point with an awl for the bit to follow (when working on the lathe, I'll use the skew chisel to mark the center for the bit to follow). Most of my sets have a ground point, like in the picture below. I suspect this process isn't very accurate? is there a more accurate type? not really looking for a whole set, just want a few that I can use for very accurate work on the lathe (or at least more accurate than I am getting).
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