Coaches find other jobs after they have been sacked. Nothing unusual about it except that you make it like only Chelsea coaches get jobs and the rest don't. Last I read David Moyes got a gig at West Ham.
The so-called bigger picture regarding Roman only exists in your mind. You have no evidence whatsoever to prove your point. Managers keep their jobs based on results and it happens that the Chelsea board or Roman has extremely high standards when it comes to that.
Now you are jumping into making assumptions of an anonymous poster with your comment on Hazard. This tells me that you like to form conclusions based on assumptions and convoluted stances based on your defending the board at all costs view.
Conte won the title in his first season at Chelsea despite being hamstrung by the Board with its transfer policies. And here you are bitching about Cahill being captain and Roy Hodgson. Do you expect him to win every single match and turn in flawless performances everytime? What hogwash! Turn it around and ask the Board why they didn't land Alex Sandro and consistently buy last minute mediocre players.
Bottomline is that you go around trawling football forums preaching about how innocent the Board is and that itself is laughable.