Both of those are stereotyped to initiate teamfights, when that's the worst possible thing to do when playing the damage variant of Nocturne or Master Yi. There are huge ways to protect yourself as damage Nocturne, as all he needs is Wits End to put out decent damage, which can get even better when you add something like BorK to the equation.
Junglers that can take kills and essentially carry the game with it; keep in mind, this is not always through damage. For instance, a fed Nautilus is absolutely fucking brutal, even though it's not the most damaging jungle. Damage Carry Junglers include Lee Sin, Nocturne, Yi, and Fiddlesticks (if you're not trash at him). Tank Carry Junglers include Nasus, Nautilus, Volibear, and occasionally Sejuani. Of course, there's also the standards, J4, Vi, Eve, etc., but I figured those would be obvious d:
Twitch hasn't been a good jungle since his rework, he's too squishy to easily jungle, with no real good way to clear his level 1, and still has a weak early game. Gangplank is one of my personal favorite junglers, but he's not much good either. He farms like a fucking champion, and that's about it. Outside of using ult to assist in ganks, your passive is not a relevant slow/or dot in 90% of situations. He does, however, excel at ganking bot, because he provides his ult, an AD steroid, and a cleanse for the support's CC (or ADC, I dunno). I would not, by any means, call him a carry jungler though.