3 losses in a row then a draw in the cup, 3 days later he's gone. At the moment, Everton have 2 points from a potential 12 and Stoke have 4 from a potential 15. I don't think either team for one minute are worried or baying for the blood of their manager.
Allardyce's Newcastle went the 5 first games unbeaten, and 2 of the 3 games he lost in a row were to Chelsea and City. The game after he left, Newcastle got spanked for 6. Yes his football wasn't pretty, but (imho) the arrogance of Newcastle fans demanded a better-quality of football than the club deserved, especially during the turbulent times they were going through.
It is well documented that Newcastle have a disgraceful rate of turnover in managers. I think Allardyce was the 8th or 9th premiership manager to go by the time he left. He came at an unfortunate time when the egotistical Mike Ashley took over the club and had to quickly adapt to a volatile and almost unmanageable situation behind the scenes of the club.
I do not particularly like Allardyce, but I will stand up for what I think is right; it is not a 'one-man crusade' that you have wrongly pointed out