The reason Eddie keeps getting criticism is he is (a) very disrespectful, throwing verbal hand grenades and talks about other teams, including those England are not playing, in a way that many England fans find distasteful and (b) He seems to think the world cup is a 4 year (or 8 year) plan that requires England to play terribly for long term gain whilst playing multiple players out of positions and changing his assistant coaches every few months. Which might be news to South Africa, who in 2016 were literally losing to Italy and won the whole thing in 2019 by simply the changing head coaching + team once and picking their best players on a game by game basis. The world cup is a year or 18 month plan at best, nothing done in 2021 or 2020 will be impacting 2023 beyond selecting good players and sticking with them. I have heard a lot of utter garbage about over training training now for two years/eighteen months time or whatever. It is utter, utter tosh. You don't hear of the All Blacks beasting their players to death's door and their fans or management saying "it is ok, they are planing for 24 months time". You cannot overtrain now and produce long term results in two years, a simple look at the teams from two years ago will tell you that they are not the same players, will have played and missed lots of games and had lots on injuries in the intervening time and whilst there might be the odd sports scientist spouting on about bollock naked emperors two years in the future, I have, to be honest, very rarely met sports scientists spouting such twaddle. Most think in far smaller timescales. (c) He keeps failing to beat Scotland, something symbolic of the fact that he has a worse 6N record than Lancaster by some margin, especially post 2017 (d) His teams have come across as sourly, especially in defeat. Whilst some of them have acquitted themselves well, some of the post match interviews have revealed a culture that should be stamped out. (e) Eddie himself keeps having a pop and journalists in a way that makes him seem like a total arse, without a record to back it up. When a winner behaves like that, as happens in football with successful managers, at least the fans can point to their record and excuse awful behaviour with "they are a winner, it is part of who they are". Eddie does not have that excuse, and behaves in a way that makes him seem petty and thin skinned. It is a 5 team tournament, in reality, and his overall record does not suggest he should be spouting off in a way reminiscent of Jose mourhino, Arsene Wenger or Sir Alex Ferguson. A few cues from Dai Young or Rob Baxter would not go amiss.
The RFU don't have top coaches or a head honcho monitoring Eddie, and they don't have a succession plan. If they did, after the last world cup Eddie would have left and been thanked for two great years, two poor ones and a great world cup.