Changing the head coach will not drastically transform fortunes. This is an institutional failure as much as a footballing one. Every decision the club has taken since reaching the 2019 Champions League final has backfired sooner or later.
The squad heading into the season was threadbare enough already, only amplifying concerns over Spurs' recruitment. Levy has sought to diminish his power and hand out responsibilities with the hirings of Munn and sporting director Johan Lange, yet still Tottenham are following the same old script.
Mourinho and Conte demanded more players for the here and now, which proved catastrophic to their fortunes in both the short and long term such was the half-measures which were actually implemented. Postecoglou was supportive in lowering the average age of the team, but perhaps not in such an extreme a manner as has been carried out. It has left Tottenham with a team primed for the future yet which neglects the here and now.
To start with, Spurs need more senior players through the door before the January window shuts. As Postecoglou has stressed, that's not even to save his own skin, rather to help the current squad burden the enormous load weighing down upon them. That's the key to reversing the immediate decline, but issues still run deeper.
Postecoglou could be sacked and have few complaints. There's no point debating that anymore despite the extenuating circumstances. It would be extremely tough to lure a ready-made replacement at this juncture, mind you. This is a less attractive job now to 18 months ago when the Australian was sworn in, and an uber-competitive Premier League threatens to tarnish their status as a 'big six' club. The optics of firing the man tasked with leading long-term change would also make it tough to sell the perks to whoever is next in line.
Reports claim he will be given further time and the board want to help him clean up this mess, but do not appear to have actively offered a solution outside of that word. If the club really wants change, it can't just be about the person in the dugout. This is a culture which has failed to improve itself since expanding their ambitions on an infrastructure scale. The Premier League has caught up with Tottenham and they haven't done enough to move forward on any other front.