Laying your wrist on something helps stabilize your movement, so I think it definitely helps. Some people like using a drawing glove, it helps reduce friction and allow your wrist to smoothly glide on the surface of the tablet as well. As for using elbow, shoilder or wrist - or using particular ways to hold the stylus/pen/pencil etc - I eould say it comes down to the artist in the end.
Using the shoulder is excellent for fluid, expressive, dynamic lines - thus the preferred option for classical painters and draughtsmen, also a great thing to do if you want to work on line confidence, circles, curves etc. but then, there are plenty of artists who end up working a lit with their wrists or elbows. It also depends how big you are working, in a small frame or small tablet, you wont have a lot of space to use your shoulder for broad strokes. So experiment and see what works, but for most big strokes try going for elbow or wrist and for smaller details you can usually use wrist with handwriting position - or not ๐
Cheers