I don't think that is going to happen, nor should it.
This is exactly what we are trying to get away from by giving large amounts of money to managers who purchase players they want , the manager then leaves the club and we are left with a group of players some of which the new manager has no use for.
This is the reason we have such a large stock of unwanted players.
CA is unlikely to stay at Everton for a very long period and we have to work at buying players that are still wanted after he leaves.
The manager knows by now what he wants and what he needs. He will have gone to the DOF with a list of certain specific players I am sure but also a list of the type of player he wants.
We all now the weak points in the team and in my opinion more than anything we need to buy leaders for the team as they are sadly missing in my opinion.
You seem to have the idea that it is CA versus MB whereas the reality is that it is them working in tandem. CA is a vastly experienced and successful manager, nobody would think that his opinions and wishes will be ignored and players that will be brought in will be to fill the gaps he has identified.
But, I think MB will be coming to Ancelloti with a list of players as well and each player will be discussed and decided on by both.