I like to use Brodeur for an example regarding shot quality.
The issue with shot quality is not whether it exists or not. Of course it exists. No one's ever gonna tell you that Clarkson throwing the puck on net from the boards as soon as he gains the zone is as "good" as a shot coming from a cross-crease back-door play. The issue with shot quality is whether or not it's a REPEATABLE skill that can consistently be utilized by a team or player. Statistically, it's been shown that it's not.
The fact is, there is not and has never been a team that has consistently been able to generate higher quality scoring chances than other teams or lower the quality of scoring chances for the opposing team.
I was a skeptic because of the whole "ignoring shot quality" thing when I first started poking around advanced stats. But I realized that, if shot quality isn't a sustainable skill, then the biggest argument against Broduer (that he was successful because of New Jersey's system) becomes null and void.
If anything, since New Jersey was so good at limiting shots against, and Brodeur has NEVER been tops of the league in SV% over a long period like Hasek and Roy were, you would have to conclude that the Devils allowed HIGHER quality chances by trapping, no? The alternative would be admitting that Brodeur wasn't very good (which we know to be false), or else he should be able to stop a very high percentage of low-quality shots.
So either shot quality exists, or Brodeur has secretly been a bad goalie for his career.
But this is usually where someone says something about how "only the higher quality shots got through to Brodeur so he consistently faced tougher shots and never the easy ones." Well now you're saying that the Devils, as a team, only worked to limit the number of LOW-quality shots against (which interferes with the original argument against Brodeur), but allowed high quality shots. Why would any team do that? Why would a team work hard to eliminate the point shots and dump-ins on net and the shots from behind the goal line while allowing the opponents to take high quality shots from scoring areas? That doesn't make sense.
For me, the logical conclusion was this: in the end, the Devils prevented shots against, and opposing teams scored less goals because of it. So if preventing shots means preventing goals, then getting shots must mean getting goals. So why was I trying to quantify shot quality and add it into a formula that already works without it?