[sbuk]

Not really as its very simple assertion. Apple do not have a monopoly. They control a segment of a rather large, and competitive marketplace. To say that they have a monopoly over their products is not a cogent statement as every manufacturer has such a 'monopoly'. The EU laws that you are referring to concern the abuse of a dominant position in a market, something which Apple as we are all too often reminded do not have.

The fact remains semantically and legally that you a monopoly of the segment or niche of a market is not possible. A company can be abusive (which is what you mean when you say monopoly - something which in and of itself isn't illegal), but unless they control the significant majority of the whole the it is legally not an issue. Morally is different debate.

[anotherthrow]

> To say that they have a monopoly over their products is not a cogent statement as every manufacturer has such a 'monopoly'.

Well, I don't know what you mean by 'cogent', as that's generally taken to be a property of arguments and not statements (there may be loser notions, but as I say you'd need to spell out what one you intended). However, the statement that 'Apple have a monopoly over Apple products' is a true statement, which is all that matters to establish the semantic point. It might be trivial, but it's trivially true.

If I might try a helpful suggestion, it seems to me your confusion is arising because you're thinking something like 'if x is a market segment, then x isn't a market'. But of course that doesn't follow, as one can individuate markets at different levels (more or less fine grained).

[sbuk]

"It might be trivial, but it's trivially true." It's trivial to the point of not being relevant. If the justice system were to punish every manufacturer that had a monopoly over their own product then nothing would get made. Cogent isn't perhaps the right word. As statements go "$megaCorp has a monopoly over their own products" is meaningless, yet it is constantly cited in these discussions as reason to pursue damages.

[anotherthrow]

Look, there are several issues here. There's a narrow semantic point. On that point (which I think you explicitly denied), you can have monopolies over market segments. Personally, I like semantics, and think semantics is often less trivial then people suppose, but I accept others may be less interested.

Then there's a legal point about whether one opens oneself to legal action for dominance when operating in certain ways over market segments - I think it's also true you can be. But I'm not that advanced in my legal training, so don't take a strong position on that.

Further, there are normative and moral issues about what should be the law, and what one should do in these cases - but discussing those would take a long time...