I hadn't heard that the condom contained no DNA. That certainly sounds odd to me, but I'm no forensic expert. If that's sufficient proof that the whole story is a lie, then that's certainly worthy of investigation. False rape allegations are as serious as rape in my opinion.
The lady who went to the police to force assange to do an HIV test never accused him of rape, they had unprotected sex and she wanted to ensure that she was safe.[1]
The second lady only accompanied the first. But the article had already been made and she only made a statement the day after. As for the reason to not clasify it as rape, it's probably due to a contradiction in her statement. [2]
Per the article: [1] "S.W. never accused Julian Assange of rape. She declined to participate in further questioning and went home. Nevertheless, two hours later, a headline appeared on the front page of Expressen, a Swedish tabloid, saying that Julian Assange was suspected of having committed two rapes."
[2] "... But she said that during sex, Assange had intentionally broken the condom. If that is true, then it is, of course, a sexual offense – so-called «stealthing». But the woman also said that she only later noticed that the condom was broken. ..."
Basically it comes down to the story not adding up, drummed up charges, testimony that was changed by the police. After the headline was made on August 20th (accusing him of rape) the person that 'accused' him (she hadn't (yet)) was questioned on the 21st and only after that did she accuse him of 'rape' (not actually rape, but stealthing).
According to her he had intentionally broken the condom during sex. However the broken condom that was submitted into evidence had no DNA of her, nor of Assange.
Neither woman accused him of anything before headlines were being made apparently.