Well it's a pretty pointless argument as neither of us can ever be proved right or wrong.
My personal opinion is that the quality of this squad is much higher than that of most squads in the league, and would always have got enough wins - particularly at home - to keep us comfortable. I would argue that this is backed up by the fact that we were 5 points clear of the relegation zone when Allardyce took over despite arguably having had a tougher run of fixtures than most of those around us. You've cherry picked our worst results but it's worth countering that we're the only side to have taken a point off City, and had won 3 home games before Allardyce took over. The most games we've gone without winning this season is 4, and there are 6 sides in the league who are currently on a run either equal to or worse than that.
Yes the West Ham result may have been affected by the fact that somebody was watching, but not specifically Allardyce. Players will generally respond better when they feel they are being judged by somebody in a position of strength and influence, so Unsworth was in a difficult position as the players knew he couldn't really harm their long term prospects if they didn't perform. I'm not saying sacking Koeman was wrong, or that Unsworth was the answer, simply that my opinion is, was, and always remained, that a bottom half finish would be a real failure for this squad in this league.