Matt, you are obviously a smart bloke, but it sure as hell doesn't come across in your articles due to that very large anti-Apple axe you seem wanton to grind.
Firstly, you make the same mistake that countless commenters have made in the past: you think Apple has a monopoly. I expect that from them, not from the article writers.
Apple has, at best, 10% of the desktop market (which I'm including laptops in). They have, at best, 30% of the worldwide smartphone market, and 5% of the worldwide mobile phone market. iOS is not a market. Microsoft, on the other hand, do have a monopoly in the desktop market, which is why they got into hot water.
Now, given that Apple don't have a monopoly, they can't be done for abuse of a monopoly. So please stop trying to suggest it's a certainty.
Regarding the Sony eReader app, Apple are well within their rights to reject it from the App Store. I may not agree with it, but I accept that they can do that. Why? Read on, dear chap.
To continue your line of argument, customers want the Sony app. By rejecting it from the App Store, Apple makes their product less desirable in the eyes of those customers. There is nothing illegal about a company making its own product less desirable. Furthermore, those customers have a choice: they can get a Sony eReader device, or get a different smartphone for which the app is available.
If I wanted to get all riled up about something, I'd complain to the EU that McDonalds doesn't sell Burger King chips. Of course, that would be just as silly.
By all means, revisit this topic when Apple have over 90% of the mobile device market. But I'm sure there are a few Android folk who will happily tell you that day is never coming...
PS - you did want people to rage, didn't you?!