Not being a pure monopoly doesn't prove that Apple doesn't have market power. Moreover I don't think people are saying that Apple has a monopoly of smartphones.

Not being a pure monopoly doesn't prove that Apple doesn't have market power. Moreover I don't think people are saying that Apple has a monopoly of smartphones. The argument is that Apple is using their market power to set prices that seems well above the marginal cost. And they also have created policies that prevent competition in their store. Imagine Windows not allowing any apps unless they give them a 30% cut.