United fans have been remarkably patient with the last 2 managerial appointments. Mourinho still has a semblance of support among the faithful, particularly those of the match going variety, so your spoilt fans jibe doesn't hold water.
Unlike Liverpool, the board at Chelsea clearly value success above all else, such is the level of their ambition. I'm sure to a Liverpool fan Conte's sacking would appear harsh, but that's only because you have become accustomed to mediocrity over the years. Liverpool fans have been harping on about progression for 3 decades, how much longer are you prepared to chase that carrot before you decide it's time to adopt a less forgiving/more demanding attitude. In other words, how much time is Liverpool's lastest bastion of hope allowed before you realise he's just another false prophet?