I don't think the system only sets up low-percentage chances, I think however you need certain types of players to make the system work. Each line needs at least one physical forward with the hands to make plays down low, and that's what this team lacks right now.
Voracek is not a good fit, one reason I think they should have traded him, a younger Simmonds would be (he goes to the net aggressively) but the current version is a liability at ES. Voracek's skill package would be perfect for a play making center, but he's an awkward fit at wing, he's not a Giroux who can run a "half court" offense, he's best in open ice making plays, but has never developed a reliable shot.
Patrick fits very well, he has great hands in the slot, provides a target to pass to, and if the play is blocked off, will go to the net to set screens and score off rebounds from point shots. Same with Couts, not sure about Vorobyev, who is more of a passer, it'll be interesting to see how Rubtsov develops. JVR was probably signed for just this reason, big boy who has great hands around the net.
Laughton is more of an open ice forechecker, but not a net presence.
Weal is strictly a Giroux perimeter playmaker but without the vision and elite passing.
TK has become much more physical, and while he can't plant himself near the net for obvious reasons, doesn't shy away from dirty areas like Weal.
Look at teams like Winnipeg, they crash the net with big forwards, and that both opens up the ice (by forcing defensemen to collapse to the net) and provides screens for shooters.