Our main problem is our very strict system IMO. We can see the results pretty easily too.
Very rarely you'll see our guys attempting a scoring chances off the rush they always go wide (by themselves even when they are not rush by the dman, as soon they get in the zone they mostly head towards the corner directly, or they dump to get get. Once we're there we have to get the puck to the point, which most of the time goes there to die cause most of our dman are not great offensively. I mean 90% of the time when the puck carrier is about to enter the offensive zone you can already tell nothing good is going to happen but everyone's positioning.
Most of the time on our dump in now we do not win the fights and the other team breakout freely with all our 3 forwards still behind the red line and most are slow so they can't backcheck and catch up. I mean... how often did we get burned being in the zone for awhile and booom easy tic-tac-toe breakout, goal straight off the rush? Thats a big reason why. And we've seen it so fvcking often.
So basically, we play a system where you're not creating good open scoring chances and that you have to be opportunist offensively and we're exposing our slow Dmen most of the time cause the other team have their own defensive zone + neutral zone to freely prepare their plays.
But one reason we we're SO awesome at scoring on the PK in the last few years is cause we'd breakout differently and try to score off the rush instead of slowing down (cause really our puck carrier always slow down when they get to the blue line unless they dump) to settle the play and bring everyone in.
i also think thats one of the reasons Kovy left, with the talent he has and being ask to simply do the same play over and over (and not winning doing it anymore) the best Kovy plays were ALWAYS when we were down a goal late in a game and he'd take it uppon himself to create a scoring chance. He'd then make some crazy rush beating everyone and getting a shot on net 75% of the time he'd even try.
Well, the problem with playing the style you suggest is that our roster can't handle it. We've got what, 1 skilled defenseman and 3 forwards that can play that style? And I'd argue none of those forwards are very good at it either.
I'm just gonna ignore the Kovalchuk part, because I find to he hilariously untrue.