The reason why Apple are increasing the size further is because of widespread criticisms from the consumer and the competition's success with larger displays in my opinion. I personally think Apple are going to increase it to 4.7" as 5.5" is too large and never 'Apple'-like. :|
Your view here seems split between this concept of "Applelike" and Apple doing something to get the money (competitor success). The latter is the dominant driver of what is Applelike. They want the money. That's what the Samsung case was about- how much money Apple would have made had Samsung NOT "copied" Apple's innovations.
Apple is still publicly selling a 4" phone screen. Their launch of that size poked fun at bigger sizes. If there is anything to Applelike being more important than getting the money, they shouldn't be rolling out a 4.7" either. Per their own public stance to sell what is for sale right now, a 4.7" iPhone is not Applelike.
As I've shared before...
-roll out a 4.7" phone and soak up the business that wants phones bigger than about 4" and smaller than about 5" or so,
-roll out a 5.5" phone and soak up the business that wants phones bigger than about 5" and smaller than about 6" or so.
Leave either phone out and basically give the Android competition that business for up to another year. Why? If Applelike is about getting the money, then Apple will get it by mitigating the most tangible reason for bigger-screen buyers to choose ANY Android phone by rolling out both.
They chose not to leave the smaller-screen tablet size to Android in spite of very public statements about how users of such tablets would need sandpaper to sand down their fingers to 1/4 their size. Did doing something so UN-Applelike work for Apple? It certainly did.
My bet is on them choosing the money again instead of leaving it to Samsung and others for up to another year.