Imo, there's a certain image that's painted when it comes to the Scuderia, and a large portion of said image was influenced by the Schumacher years in which Ferrari totally dominated. Thing is, is that a large part of that successes is not only due to Michael's abilities as a driver, but the fact that he had a large number of personnel from Benneton follow him, including one Ross Brawn and Jean Todt (who I believe is the only non-Italian Team Principal Ferrari has ever had). Now Ferrari has the unenviable task of trying to match those legendary years with relatively new blood that has almost no connection to the Schumacher personnel, or seemingly taking to heart any of the methods that got them those wonderful years of success.
It's also why I don't believe sacking Binotto would really accomplish much by itself. While he has definitely made some mistakes of his own, Ferrari has been doing the whole musical-chairs act with its top positions for over a decade now, and have pretty much nothing to show for it. The team is still making the same mistakes that cost Seb and Alonso potential championships years ago, with no real indication of any effort being put into reversing these problems. It's especially frustrating when this happens despite Ferrari's engineers building themselves a very fast (albeit stereotypically Italian) race car.
The fact that these same issues have continued and have created the same results for so long tells me that this is, in some capacity, a corporate culture issue, which means that there needs to be a shakedown all the way up the Red Totem Pole if there's any hope of significant change. If that accomplishes nothing, and if I'm Charles (and possibly also Sainz), I'm trying to make a case to Toto Wolf to take me in when Lewis retires, because even though Mercedes are way off the mark in terms of overall pace, they're still doing a solid job of taking advantage of Ferraris mistakes and turning them into Top-5s and podiums.