What I will say is that there are very few examples of managers coming back from a situation like this. While managers traditionally have borne the brunt of fans' ire, the modern chronically online nature of the fanbase and social media users means that the media, fans (both ours and those of other teams), and the club get locked into a spiral of doom that becomes extremely hard to come out of. Already, I can sense a bloodlust on this forum that demands a blood sacrifice and a manager/coach will always be the first on the block. No amount of calls for patience or moderation will satisfy this bloodlust. I sometimes feel that it is possible for a fanbase to get locked into this cycle of boom and bust that traditionally plays out as a deep sense of despair, followed by a dramatic rise in hope that a new manager brings, followed by either a constant high of winning matches or having deep withdrawal symptoms of not seeing a firing happen (in this stage, there is an irrational belief in the presence of a 'messiah' out there who would fix everything if only he was given a chance).
This time is a bit weird in terms of how quickly things have unraveled. I know many fans seem to claim that they have seen this coming (where apparently we have been awful since the League Cup final and all the signs were there), I don't remember many fans saying this at the beginning of the season when optimism was at an all-time high. Right now, even though there are clearly no better alternatives, people will want to see someone, anyone that can give them a sense of hope. I sometimes feel myself thinking along the same lines. No deeper point here, just an expression of sadness.