It wasn't Daniel Levy he had a problem with (I know people won't want to accept that). He's done interviews confirming as much and his main issue was with the players.
It's even more of a problem now.
For any manager, including the current one, it's the problem. It won't fix itself by simply bringing in a new coach/manager, because all the real problems are above that (who is the 'sporting director'? Is Paratici staying or going? Should he go anyway? Who decides if managers stay or go? Who picks the next one? Who decided to sell Johnson and what's their next plan, etc)
Conte identified a cultural issue which has outlived everything else so far