With all due respect, I've made plenty of small screws by "single-pointing" them on a good little Monarch 10 EE toolroom lathe. If the screw is sufficiently long for its diameter, it may require that a live center be used to support it. But for a Parker triggerplate screw, I don't think you'd need to do that.
Now doing it with an acorn die or a retractable, interchangable jaw thread chaser head is very cool, no doubt. But, a thread chaser head is usually reserved for makeing multiples of parts since they have to be adjusted for pitch diameter before a "run". Besides, they're pricey and I don't have one. So, in a pinch, I resort to single pointing a lot.
