It does seem like Allegri is a puppet with Conte's hand up his arse. We just look like the same team as under conte, but a bit slower and probably with less heart and motivation/aggression.
The new coach just needs to be open minded and come in and make the team their own. This is what hasn't happened under Allegri. He has been cautious from day 1 with this team.
But the biggest issue is that whoever comes in needs to clearly understand you need to make changes and win with limited budget.