Having trouble finding any scoring chance data, official or otherwise. I am guessing the problem is that each team has a slightly diferent way of counting them, and then the data becomes proprietary. I've proposed before that we could crowd-source a Sabres game and come up with chances for and against. Might be fun. Overall, though, it seems to be a huge gap in analytics. I may not be a fan of it (analytics), but I'd certainly be interested in how good teams are at getting more chances than their opponents.
Corsica actually has a scoring chance metric. Overall percentage we're pretty good at 53.58%, 7th in the league. But that's due almost entirely to our scoring chance prevention, where we're 3rd at 6.53 per game. Problem is we're only generating 7.54 per game, which is 19th. Before you ask, I'm not sure exactly what they count as a scoring chance (which is why I don't regularly cite the data), but a safe bet are things in the whole slot area.
We are shooting a little low as a team, at 5.06% (as opposed to our expected, per Corsica, of 5.97%), but even if we were shooting as expected, it'd still only give us another 6 goals on the season. We simply aren't generating enough chances to score more.
Which brings me full circle to Bylsma: he's using the roster incorrectly. As I think we can all agree, we're not a team with a bunch of high end finishers (our only guy with a realistic expectation of hitting 30 is Jack), so we have to manufacture offense through volume and control. Bylsma is doing the exact opposite of that with his passive forecheck, weak puck support, and neutral zone trapping. Sure we're limiting chances against at an elite level, but we're generating chances at a below average level and when combined with our roster, has resulted in a total dearth of offense.
Backing away from the stats some, looking at our defense, I think it's pretty clear that Risto, McCabe, and Bogosian (lord save my soul) are better at attacking offensively than they are at defending in their own zone. Yet, Bylsma's system has them spending more time playing to their weaknesses than to their strengths. Every game I see a lot of chances to either lead a rush or pinch, but they just choose to sit back instead. If it was only say Gorges doing it, that's one thing, but they all are. That's coaching.
Jack coming back will help, as he can generate on his own outside of the system, and he can finish. But him coming back doesn't fix the underlying systemic problems Bylsma is responsible for. People can point to the injuries all they want, but it was the same last year, and it was the same this year when we were healthy minus Jack. It's how Bylsma wants to play. I've often joked about what Bylsma learned in his year off...well I think he decided that clogging everything up and castrating the generation of chances (by both teams) was the way to go. Though his breakouts and dumping and chasing is basically the same as in Pittsburgh, I think he neutered the forecheck he used there in favor of stifling the competiton (someone can correct me if I'm wrong, but I have no memory of Pittsburgh playing a 1-2-2 with any regularity...quite the contrary, I remember them giving up a lot of speed rushes through the neutral zone).