Personally I would have liked him to stay and given chance to turn it all around given what he's done for the club over the years. Problem he had was 1) A few players just aged overnight and 2) Whoever he lost in the dressing room obviously had a massive influence over things.
Rumours of Hiddink or Ramos until the end of the season won't be nothing more than in the hope of getting them into Europe. Problem I see Chelsea having is who do they realistically go for next season? I can't see Pep wanting to work for Roman. Could Blanc perhaps be tempted from PSG? Will they hit Liverpool to try and snare Klopp? Perhaps Pellegrini if City sack him?