Either shot quality isn't reproducible and thus can help you better identify which teams are expected to regress/improve in terms of shooting or save percentage, or it is reproducible and must be factored in to analysis.
I'm not definitively saying it is or is not reproducible, but that the effect is so small it's not really worth considering. At the team level, after 82 games, 2/3rds of 5v5 sh% is chance.
Even Strength Shooting Percentage
Team Even Strength Shooting Talent
Pittsburgh has been top 5 in 5v5 shooting percentage every year from 07-08 until now with the exception of 10-11 where Crosby and Malkin both missed half the year and Tyler Kennedy was their #4 scorer. Since 10-11 the Leafs have been top 7 in shooting percentage every year.
I'm not surprised Pittsburgh has outperformed 5v5 sh%, seeing as 5v5 sh% is relatively persistent at the individual level (over very large samples), and Pittsburgh has 2 of the best over the past 8 seasons in Crosby/Malkin.
The largest gap Toronto has had between actual sh% and league average sh%, since 2010, is 0.706% over average. That gap is really quite small - 61 teams have deviated from league average more than that out of 180 team-seasons.
The Pens have frequently outperformed their corsi numbers. The Leafs (since stabilizing their goaltending) have also outperformed their corsi numbers. Several teams have frequently underperformed theirs over a long stretch.
Not sure what Corsi has to do with it. AFAIK there's no correlation between shot differential and shooting percentage.