Mauricio Pochettino cannot get Chelsea out of the slump in just one season, he needs at least two seasons to achieve the desired results. Jurgen Klopp also needed time to bring Liverpool out of the slump, but because Klopp had the trust of the management, he managed to make Liverpool win several trophies. Chelsea dismissal of Pochettino was too quick, Todd Boehly was too ambitious to improve Chelsea performance without going through the process, clearly that cannot be realized by any coach. If Todd Boehly doesn't change his attitude soon, Enzo Maresca will also suffer the same fate as Pochettino because he will never be able to complete his task in just one season.
The first season for Poche was actually very good but because of the less harmonious relationship it accelerated his coaching career at Chelsea and I think we are too cornered Todd in this case even though it was Todd's fault for preparing to find a new coach when mid-season Chelsea was not very good in terms of performance but towards the end of the season we could see that their performance improved with Poche's cold hands.
This is not about a matter of trust between Chelsea and Todd but indeed Poche left based on his own wishes because we know what happened was that Poche really wanted to leave Chelsea not being fired so when the decision has been taken and both parties have agreed to part ways amicably then why be forced because Poche and Chelsea have their own path.