I think Allegri moreso than Conte. Allegri with a more fluid attack in the early days. Conte would get the ball in dangerous areas only by using the same strict movements of 2 strikers over and over, in my opinion. This 2 striker system has basically followed him wherever he goes. However, last year was a big step back in my opinion. Rarely could we find opportunities to get the ball between the lines, in a central area.
Some of it was due to the players available, as Mandzukic doesn't really offer to the ball on the ground. And then Ronaldo plays wide and Allegri tried his best to use Dybala, but put him wide as well. Then you need Matuidi to compensate for Ronaldo, and that means you are sacrificing another central option as Matuidi never, ever was useful in between the lines. Then of course, there is no other B2B option to the right of Pjanic. That's why a lot of us wanted to see Berna as a CM, so he could pop up like Pogba used to.
So I felt most of our attack was just pure flank play. Very easy to defend. I think our peak attacking play with Allegri was when we had some great central players. Obviously Pogba, Vidal, Tevez.
So now Sarri has the fortune of coming into the team when we acquire players like Rabiot and Ramsey who can offer something in the centre. But overall, I feel his attacking philosophy greatly prefers to put the ball in these areas regardless of the players. As in preseason you might have seen all 3 attackers coming central to receive passes between the defence and midfield. Even in that short video, you see Costa receive a lot of passes in more central areas than he used to in the previous 2 seasons. The question for me is if he will sacrifice everything else to achieve this and if we will be worse in the aggregate.