Yes, all of them. Like I say, not only Lumia 930, if you have ANY other Lumia with constantly stuttering, you have problems. I don't know what problem exacly, but this is not normal. Not normal AT ALL.
Maybe a hard reset can solve it, but there's a lot of thing to try before. Cortana thing, Live Lock screen, maybe others apps on Lock Screen or pinned on Start Screen, etc. I don't think it's a hardware issue anyway. Probably software.
About scrolling slow, the same for fast. There's no stuttering. But when you scrolling slow in any OLED device, you have a thing we call dynamic resolution. Which is worse than the bests LCD displays. Some people can have a impression it's stuttering or something. It's not.