During the regular season I'd say Sykora and Zubrus were almost completely propped up by Elias, and that Henrique's numbers were a bit inflated too (playing with Parise and Kovalchuk, that rookie season still remains his highest point total). Looking at Marty's numbers from January 2010 onwards that season looks like an aberration as well.
In the playoffs we had guys like Salvador and CBGB play way over their heads. I don't think we beat NYR if our 4th line didn't go bananas on them.
I think CBGB is a good example of guys getting an oppurtunity in the right environment and seeing their play benefit from it.
Those guys, imo, do share a resemblance to Vegas, on a smaller scale of coarse, in that they were not tagging along with a HOF'r or two. Nor were they a HOF themselves getting hot one more time. Just 3 guys who came together in a certain role, meshed, and put together a solid run of good play.
But even in all those instances we are seeing guys play well for one reason or the other, and the question is why? You gave explanations for a bunch of them, and that makes sense, playing with good players will help a player play well, or at least produce at a higher rate(although I think the former applies as well). I think style of play is a consideration. I think that applied to CBGB under Deboer, and it applied to a bunch of guys this year under Hynes.
So how does that apply to Yegor, welp #1 is he would need to get ice time. The one scouting report says he is high energy, so that is good fit in NJ. From the examples above, playing with a good player helps. As we saw with Butcher(and Lovejoy) giving him matchups he can handle plays into it for sure, we certainly saw the opposite with Greene this year(and Lovejoy last year).
But what else? Now I don't know if we could replicate it here in NJ because Vegas was such a unique situation, but I wonder if there are things that established teams can learn from what happened there.