Ancelotti is known as a coach who gives his players a lot of freedom, as well as the responsibility for training and tactics. This can work in high quality clubs and with a squad that has strong leaders. John Terry has talked about this leadership style and how CA invited him, Lampard and Drogba to lead.
His training sessions are characterized by low intensity and quality. The Bayern Munich players organized their own training sessions because they thought the quality was too low. In the coaching team he employed his own son as assistant manager. Arjen Robben has reportedly said: "There's better training at my son's youth team".
Ancelotti was a product of Arrigo Sacchi, but has gradually nuanced this philosophy. However, he does not have clear playing style philosophy, such as Guerdiola, Klopp, Sarri, Simeone, etc. He has been successful, but personally I mean he has often skimmed the cream. I also mean he has underperformed considering the teams he has trained. He has not coached a team that has not been a top team since 1995-96, ie Reggiana. We see how things are going in Napoli.
I don't think he has any progressive ideas, nor the leadership style needed to lift this Everton team. It is something else to do well in a top club than to coach a team that does not have star players. That's why I think he's not interested in the job either.