One was actually against Fulham and you are correct they were tough games but why would you put in a Manager who had been managing the U18s with those matches coming up and Man Utd were in freefall that year and Arsenal were not at their best either. 3 or 4 points would actually have kept them...
CH also managed in the Premiership. Took Norwich to 11th and was 12th with Newcastle when sacked and was 16th when sacked by Norwich when 5 points clear of the bottom 3 with only 4 games to go.
I don't say he is any better than the others you mention but his record is comparable and if he had...