Given the main point of this phone is the stylus, it's criminal that the reviews don't really discuss how well it works.
The answer is pretty well. Here is a comparison of my best writing, and box with a dot inside-ing. Top is finger, bottom two are stylus, at two different angles of incline.
Note that for some shapes I find it much easier to use the stylus when the phone is laying flat on the table. Then you don't have to fight gravity. That is one notable downside to the stylus. No gliding resistance, and no good way to brace your hand. Makes drawing long straight lines surprisingly hard and fatiguing.