I've pointed that because it's cheap and could be tried. Of course, after filing the point, it must be examined under a magnifying glass and a strong light, I would never try that point on a record before examining the results optically first!
In the other hand, I hadn't seen the illustrative video pointed out by Orchorsol... the way the dart point is grounded by the man seems not to provide a precise delicate point as a gramophone needle needs. It seems quite a rough affair, though!
At first I believed it was sort of holding the needle against the stone central hole rotating the dart on its axis, not with that dancing movement, but more delicately....
When a youngster collector in the eighties, without money nor these marvellous forums and all our present internet resources, I hadn't a source for steel needles, the ones I used then. So I devised an industry (Spanish nickname for anything you prepare and deploy for doing something, as tools, clothes and materials, etc) for sharpening used steel needles. I must later do it before the camera and post a YouTube video of the process I managed to refine. An image tells more than words. Of course this process and the materials involved were much more delicate than the dart point filing as seen in Orchorsol's video... Later you'll see it, but it can be summarized in this: my process is far more delicate and the needles can be reused without harm to the records. I'd been doing that for ten years at least and still keep those needles, and the records, of course, which are still good. My process ids much like the grinding by finger movement, as described by Orchorsol. The trick is to use a soft quartz stone, not emery paper, so you are polishing the needle point, not grinding it out. At first I used sandpaper bands fixed to a wood piece, but this scratched the needle for the sandpaper is too rough. Later I discovered the good soft polishing that quartz stones provide.
I want to summon you later in this post tho see my process and the kind of stones I used for polishing.