Oh I think you can take a balanced view about the effects these formation changes can have on a side. True that we're a lot more clean and precise with the ball now and without the ball players are having more of a crack. I think that this new shape facilitates that better than the last though. Those front four players make for a much more effective press. We're dispossessing our opponents with more than grinta. This formation looks more compact. Players don't look as isolated as they did. If Pellegrini looks like he's about to be beaten, for example, Chiellini's right there to follow up.
And the same goes for passing. It's about more than the players understanding each other's movements. They're just physically closer together. It makes one touch a hell of a lot easier if the ball doesn't need to travel 30 yards half the time.
The player benefiting most from this formation is Kulusevski. Not setting the world on fire but he finally looks comfortable.
That's why this formation actually makes sense. Literally every player is playing in their preferred position. That's quite rare for Allegri but that's part of his appeal as well. Tactically the most versatile coach in Europe.