Think it's more that the first season we had no real system/style of play that was discernible, especially away from home and a lot of that was attributed by people to having Lukaku there who 'is not a Koeman system player'
Now we got rid of him, spunked a shed-load of money on about 8-9 new first team players, played 14 games and a pre season with them, yet I'd wager not one of us have a clue what we are actually trying to do or how we are trying to play. That's absolutely terrible management, we are a loss to Lyon away from effectively being out of Europe only half way through the group stage, we are looking woeful in the league, and even the cup progress is tempered by the fact we have Chelsea away in the next round so can expect an absolute bumming of a Purple Aki magnitude.
Right now, Tuchel and Ancelotti are both available, unless Bayern go for Tuchel ofc, IF we have the genuine ambition that Moshiri has stated we do, approach both of them - see if one bites (although think both would want assurances of serious funding)
I think Koeman is one of those managers who does well with low expectation - indeed maybe exceeds them - like us last year and Saints in both seasons there, his time in Holland he done well with a complete underdog and besides that managed Ajax and PSV - who a blind dog could have challenging for the title lets face it, both clubs he managed in leagues where they weren't the best team but had the expectation to challenge near the top - Benfica and Valencia he failed dramatically at, even cup wins at both couldn't save his job that appalling was the league form and style of play at both.
Ancelotti would be a no brainer - an absolutely top manager, Tuchel - some doubts over, but did very well at Mainz and did well at Dortmund - tempered with his falling out with senior figures at the club over having to sell players (but he does develop young players and for us that is a massive plus) - also plays a very attractive style that is suited to this league