I'd like to think you're right about the players reacting differently in Unsworth had been made permanent manager, but I'm by no means convinced that would have been the case. In fact, I don't think the senior pros would have acted much differently, which probably says as much about them, and modern football in general as it does Rhino, but them's the times we live in.
Personally I think the 4-0 over West Ham was due to :-
- The players knowing it was Rhino's last game in charge, and they were feeling a bit guilty about not totally pulling their weight for him, so wanted to give him a decent send off
- The players knowing Allardyce was around, so knew they had to knuckle down
- A bit of luck when they missed their penalty