I pulled together a view of the major stats (5v5) with the last 4 Flames head coaches.
Matches the eye test to me. Getting hemmed in their own zone a lot more and their Corsi Against, and Shots Against per 60 at 5v5 are way up. Likely due to the collapse system they play in their own end.
Offensively they are generating High Danger chances at a similar rate to before, but their shot totals and shot attempts are both down. Overall in terms of advanced stats Corsi For is still the best measure of future success for a team, and this team is way worse in that area playing Ward's system.
Honestly if not for Ward having the 6th best save percentage in the league in this time we'd be getting dummied. For a team that supposed to be playing a more defensive, playoff style system we sure seem to be giving up a lot more shots against.
6th best save percentage yet still only the 15th best point percentage. He's getting less out of a better roster than Gulutzan did, with the only difference is he has elite goaltending and better shooting percentage.