I guess I'm a dinosaur, but I still like having at least one shutdown and/or energy line. Even if you have three skill players on your 4th line, they're not gonna be very productive offensively anyway with limited icetime and no PP time. Quite frankly, there's not enough skill to go around for 124 lines in the NHL. I'd rather have my fourth line consist of Daniel Winnik+Nate Thompson+Trevor Lewis than Tomas Jurco+Derek Ryan+Pontus Aberg, personally, as I can see the former three produce just as much if not more and take PK minutes away from my team's best offensive players.
Corsi has driven this narrative, though no dirrect correlation has proven that skill depth players > gritty depth players in this regard. Eventually people will realize that that there will always be players who has a negative corsi relative to teammates, even if every energy/defensive forward is swapped with skill players. Simple math should make that obvious. And frankly, the game is constantly changing. The game has changed over the past 10 years and it will change again. All it takes is for a team similar to the 2007 Ducks, 2011 Bruins or 2012 & 2014 Kings to change the narrative again.