Sorry, but NHL trends are changing regarding goal scoring in general. Less teams are shooting volumes of shots and emphasizing more with creative passing/shooting off of transition/speed. That is one of the reasons why overall goal scoring is on the rise.
I think you're mistaking correlation vs causation. While quality of a shot is important, teams are still wanting to suppress shots in general.
If the emphasis was truly quality of shots, you'd have the top teams with significant disparities in shots against versus shots for - that the top teams will allow garbage shots from anywhere, versus having a lower quantity but higher quality from their end.
Looking at five top teams:
Winnipeg - 28.6 shots for, 29.2 shots against
Washington - 28.5 shots for, 27.2 shots against
New Jersey - 30.4 shots for, 25.3 shots against
Vegas - 30.1 shots for, 28.0 shots against
Florida - 30.5 shots for, 26.7 shots against
Five bottom teams:
Buffalo - 27.5 shots for, 29.1 shots against
Chicago - 25.5 shots for, 29.6 shots against
Nashville - 29.3 shots for, 29.5 shots against
San Jose - 27.6 shots for, 32.8 shots against
Anaheim - 28.0 shots for, 32.3 shots against
Four of the five top teams have significantly greater shots against their opposition. The one who doesn't has a difference of .6 (or, over the course of 35 games, they have faced 21 more shots). Every bottom team has been outshot.
Yes, of course coaches are trying to do more than throw everything at the net, but the coaches aren't telling their players to limit their shots only to higher qualities.