No, when a manager has lost his credibility it needs to be done, it's hard to clean the shit off yourself and get on with the job in a dignified manner, he looked a frazzled shell at the end. We had about 20 games in 3 months, and Unsworth still had to play 8 in 5 weeks. Koeman was trying to blend a squad made up of 1/3 players from last seasons, 1/3 new transfers and 1/3 younger players into teams playing in 3 separate competitions. It's not just juggling the different players and trying to find working solutions, but less time for each player to settle, develop or understand each other.
I think you have to respect that at Southampton, Koeman was able to deal with wholesale changes to the team each summer. They coped better than many expected. But add in european fixtures, I think the focus he put into Europa and the failure broke his spirit. We had similar examples with Moyes selling and then over achieving, finding ourselves near bottom of the league because of european fixtures and then picking up points when less games. But he didn't have a DoF breathing down his neck or the worst European league campaign by an English team from a position of high expectations and spending.
Koeman and Allardyce are pretty similar really, and it's a struggle to know who I like least. Koeman's sides tend to be more expansive and comfortable in possession, we would play across the back and look to work angles. It's not exactly fluid movement or free flowing, but under Allardyce when in good form, we seemingly choose to crawl back up our own arse against relegation candidates. Moyes and Koeman only did that at big clubs, against lesser clubs he'd try to dictate or have a plan how to attack, when he lost the ability to do so, Koeman gave up hope, Allardyce seems relatively nonplussed about how shit we are with the ball.
Conceding the initiative is all well and good, if you have some sort of cunning plans up your sleeve like Leicester did that one glorious season. When the next stage of the plan is lump a ball to an isolated front man to contest another pointless header, as the players independently stand around, its working like a charm but unsurprising not providing many goals or chances. Jagielka has been making forward runs in recent games, because he can see how little we've got going on up top.