EDIT: Sorry for the wall of text, and it is definitely not meant any sort of attack on you personally. "Not the whole picture" is just a common argument, and I'd just like to comment on my position on it.
First of all, what do you mean by accurately apply? All Corsi does is count the number of shot attempts, so it obviously accurately describes that. Secondly, Corsi has been proven to be an
almost perfect proxy for possession.
And since hockey is a sport solely dependent on statistics, i.e. goals, of course it can be analyzed through statistics. And through that they do tell the whole story since winning is entirely based on a statistic. A sport like figure skating, that has a human evaluation element can OTOH never be analyzed through statistics.
For example if hitting or fighting had an impact on winning games, that impact would show up in the statistics and can therefore be measured. Unfortunately for Toronto, it doesn't contribute. Good teams fight, bad teams fight, but it doesn't correlate at all with wins. It doesn't correlate with the next goal scored in the game either, in fact the
evidence says you are more likely to concede the next goal after winning a fight. Though the reasonable assumption is that is has no effect at all on the next goal and that the 54-46 outcome was merely variance.
Everything shows up in the statistics, because everything is tracked (except zone entries and exits for all teams). We know Crosby is a great player, that shows up in his statistics. We know Colton Orr isn't, that also shows up in the statistics.
Of course you can't just say Jake Muzzin had a better Corsi Rel. than Drew Doughty last season so he is obviously the superior player. There is always need for context.
Defencemen have always been tricky to evaluate based on stats, as points scored hardly reflects all of their value. However, with tools such as qualcomp, Corsi, and WOWY-charts one can track how the team does with and without them on the ice. Surely positive and negative contributions would show up here. Are we being outplayed? How does our goal differential look? Since the
only goal is to outscore the other team, you'd prefer playing the players that contribute to do that as much as possible. There is always the factor of situational use. But then you need to ask yourself, is it prudent to send out a defenceman who is awful at clearing the zone for a defensive draw?
We as humans are always inherently biased, we need an explanation and "story" for each event. When a team wins despite being horribly outplayed they "wanted it more", when in all likelihood it was a few bounces here and there. Re-play that game 100 times and that losing team will likely win a majority of those, but in the end the variance of outcomes suggest that
76% of games are basically a coin flip.
Statistics are a good way of looking past these biases. They can be flawed, sure, but in the bigger picture a lot less flawed than the "eye-test".
Of course there is always that "moment" where a goalie stands on his head, or
Toronto leads 2-0 after the first period after being outshot 3-14 that fly in the face of what the stats would indicate. But over a longer period of time things like that even out. The Rangers only needed the following two periods to balance the variance out and pull off a 5-2 victory.
I mean despite what all the statistics tell me I still question whether Strålman could perform better on the first pairing than Girardi. But really, what objective measure tells us that Girardi is better in that role? To me only the subjective "gut feeling", i.e. our inherent bias, is what tells me that Girardi probably still should be on that pairing.
Now since Strålman hasn't played much in that role there is a limited sample to go on, which makes projections tricky, but there is nothing so far that suggests that he
couldn't handle such a role.
But I will give Girardi one thing, Corsi is unfair to him as it discounts one of his biggest skills: shot blocking. However, since the WOWY charts does not include Fenwick it is hard to make such comparisons. He still lowers his teammates'
Fenwick ratio on the whole, but not as much as he lowers
their Corsi ratio.