Not quite telling the whole story though are you mate, did Allardyce take any training sessions with the team before West Ham - no, did he choose the team or make any in game decisions - no, did he give the team talk and decide on tactis - no, did he in fact have anything to do with that game besides for maybe a 5 min chat with players prior to the game - no.
that game was the effect of removing the uncertainty around the manager position - and would have been the result of hiring almost any permanent manager, because he had zero influence on anything in the game.
Unsworth had a favourable set of fixtures to Allardyce - errm really did he?
First games in charge - Chelsea (AWAY) Leicester (AWAY), Lyon (AWAY) an in form Watford (HOME), Palace (AWAY) Atalanta (home - dead rubber game for us) Saints (AWAY)
so lets remove a meaningless result in Atalanta - before West Ham he had 6 games, five of them away from home, 3 of those against teams who had recently changed manager, the only home game he had was against Watford who where in good form
Allardyce - 'tough' set of fixtures also included at the time we played them 4 teams in the bottom 2 on form at time of our game, Newcastle, Huddersfield, Swansea and West Brom
Trying to make out Unsworth had it easy though with 5 of his first 6 games being away when we hadn't won since i think February away from home is a bit off though