A spin-free version of the events would be:
"She consented to intercourse with a condom, which Assange initially used -- but then he took it off without telling her."
Meaning Assange subject her to unprotected sex, without her consent.
All of these legalities are irrelevant. Assange committed rape, and would have committed rape in any country. Nation-states do not define rape; moral people recognize it.
The question was "what is rape in the Swedish sense, and how is it different from rape anywhere else". The answer is, this type of sexual misconduct is considered rape in Sweden and not in many other places. Nation-states define laws, which is what the legal system is based off, so it doesn't matter what moral people recognize. It wouldn't have been legally rape in some other countries, and that's the answer to the question.