Very rare that a team wins early in the EPL, for the most part it goes down to the wire. Aside from the passionate fans that want to win every game regardless, you have the relegation battles, chase for automatic CL places, a spot in the UEFA cup and of course the title race all going on between 20 teams.
You'd be hard pressed to find a 'meaningless' game anytime of year.
Also with FA Cup being a knock out style bracket competition there would be no need to introdude that to the EPL and besides the current format works very well.