Yes.
He has had sides that play in a variety of styles. The one common theme though has been that they have been defensively sound, as he is making us currently. If you haven't seen that
Bolton played many different styles. Direct to Davies. Excellent passing game through Okocha, Djorkaeff, Speed, Hierro, Campo. Through balls for Anelka.
Palace, he played with width getting crosses in.
Sunderland he played quick through balls for Defoe and Borini to run on to.
West Ham - direct to Carroll. Direct or through balls to Sakho and Valencia.
I don't think he should be here very long either. I would like a younger manager (not wet behind the ears like some want though) who has the drive of a younger person.
But, if Allardyce meets his targets this season, which he is well on course to do so, then why shouldn't he be given a shot at whatever comes next? If you hit all your targets in work, and your gaffer said he was replacing you, you'd be pretty pissed off wouldn't you?