The two teams are incomparable, you can spend and have the luxury st Everton and talk because the EPL is super rich but AC Milan is a bigger club and have greater number of support base so it's no surprise he'll have a lot of pressure to deliver than at Everton who are just content placing 4th each season without the title.
Although Everton and AC Milan both spend a lot of money to buy a lot of players last summer, but the pressure on AC Milan will be greater than to Everton. As you've said, the name of AC Milan is bigger than Everton, so people will demand achievements and trophies to AC Milan, unlike Everton who each year only compete for the big 4 and never achieve it. AC Milan still need adaptation with the number of new players, they are still not consistent until now.