This is very interesting, and thanks for posting it. The only thing I would say is, I think you're drawing a lot of conclusions based on one game! It would be more instructive to do this kind of thing based on an entire series, of course.Even-strength on-ice shot attempt differentials (Corsi) for:
1984 Stanley Cup Finals Game 5
1987 Stanley Cup Finals Game 7
It's fascinating to look at the vastly different results for these two games. One shows us a future dynasty team having to try to earn its place against a battle-hardened dynasty with 19 straight playoff series wins. Another shows us a two-time Stanley Cup champion with something to prove against another great (but ultimately underpowered) team.
In 84, Gretzky was the king of generating offense. As such, he had the most chances for (on-ice 13 shot attempts for), and the best shot attempt differential when he was on ice (+8, tied with linemate... Semenko). As for defense, Gretzky's 5 on-ice shot attempts against is surprisingly the second best on the team (behind only linemate... Semenko with 2). Messier's line, seeing the tough assignments with tougher zone starts, is basically mauled. Messier himself had an on-ice -15 shot attempt differential, worst on the team. The Islanders, at evens, outplayed the Oilers (32 vs 45 attempts) but lost, because everyone's time eventually has to end.
In 87, how things have changed: the best line was Messier's line (though that's probably thanks to Gretzky's concussion). Messier himself had the best on-ice shot attempt differential (+21!) followed by linemate Anderson (+20!). The Oilers outplayed the Flyers, with an even-strength shot attempt differential of 65-25. I kind of get why Hextall got the Conn Smythe.
The Oilers, like all great teams, could shift roles and adapt play to beat opponents. In certain games, the Messier or the Gretzky line (or occasionally another line) would have more space to do more offensive damage. One game won't show this in balance. Oh, and about Hextall -- yes, he's a deserving winner of the '87 Smythe, but again focusing on game 7 will exaggerate the dominance of Edmonton, as they played their best game of the series in game 7. They completely ran Philly into the ground from the 2nd period on (I think Philly had something like 4 shots on goal in the last 20 or 25 minutes). Game one was similar in the third period, but otherwise the rest of the series would be much more 'even'.
But, thanks, interesting way to study it.