So, did this unexpected change make a difference?
Despite the win, it's hard to be entirely swayed, as the game was decided by a moment of individual flair and Stoke are perhaps one of the least equipped sides to exploit a newly employed system.
Without two of their premier creative men, Marouane Fellaini and Steven Pienaar, Everton were still able to manufacture 13 chances, their exact average for games this season.
They enjoyed 54 percent possession, marginally above their season average of 53 percent, and recorded similarly unremarkable passes, shots and passing accuracy, all almost identical to a typical Everton game.
Therefore, it's hard to draw too much relevance into the system at all.
As the Toffees acclimatised to it, there were times it seemed to work well, especially in possession. With Stoke visibly stretched, Everton were able to play periods of the game at a much higher tempo, enjoying far more space in the middle to launch several attacks on the break.
Without the ball, it was perhaps less convincing, although Stoke's main threat was from crosses, where an extra defensive body became increasingly useful. Baines and Coleman were effective as wing-backs, but not as frequently involved in the final third, unable to exploit any two-on-one situations.
Overall, it's perhaps a system for Moyes to maintain and tinker with on the practise pitch, possibly implementing at specific occasions. It certainly suited the personnel deployed during this match and helped stifle the opposition, although a returning Fellaini may not fit so well in this system.