I don't usually disagree with you as much as I have these last couple of days...but I'm starting to enjoy it!
I believe the difference may not be just in sampling but in 'fit'. Burmi's talents are extraordinarily well suited to the KHL and relatively poorly to the NHL/AHL... and the same goes for Stapes, to a lesser degree.
I wouldn't be at all surprised to see him thrive in the KHL...and agree that the best outcome for the Jets--whether we trade his rights or keep them--is for him to be enormously successful.
I don't know... Even if it's fit in system there is only so much it can affect him.
The fact that his AHL production (while he was leading the team) was worse than his NHL production and his KHL is currently a pt/gp makes me very confident on-ice sh% are just highly deflated in one and inflated in the other. In time this tends to regress to the mean, due to probabilities.
Yes I'm sure he and Stapleton fit the style and rink size in the KHL a little better and it is a factor but that can only go so far, especially offensively. Sorry that I tend to talk about the predominate factor as if it is the only factor and that is my own fault at improperly communicating.
Stapleton never had issues scoring at top6 rates and so I'm pretty confident his production increase is predominately due to an increase of ice time (KHL doesn't give icetime so I can only estimate this using his NHL icetime and what line he's on in the KHL). Stapleton's issue in the NHL was that even when mostly lining up against 3rd/4th liners he was a huge defensive liability mostly due to size and strength (well lack thereof), and he didn't have elite offensive abilities to make up for it. Over at the KHL this is mitigated as the defensive systems are significantly different and also his offensive production is greater relative to league average.
TL;DR version:
I'm sure style/fit/rink/system is a factor, but I don't think it can be significant enough given how vast the differences are, especially since we're trying to compare Burmistrov's AHL and KHL production, not his NHL and KHL production.
The real point in the end is we need to stop talking about Burmi's AHL black mark as the measuring stick of his abilities when it was relatively lower than his NHL production and also that he was one of the top players in production at the time.
Like I said: if Scheifele put up let's say a 0.6 pts/gp in the NHL and then went to CHL and put up a 0.5 pts/gp... we'd probably scratch our heads and try to figure out which one (if either) is more true to the persons talents and indication of how they performed. When using statistics to evaluate a persons performance it is crucial to keep contextual evidence in mind.