The problem with that approach is that he expects be extradited to the US as soon as he gets to Sweden. Oh and you might call it nitpicking, but he's not convicted of rape yet, let alone charged with it.
In the UK an judge may make an independent determination that his 'crimes' are of a political nature and therefore not extraditable. In Sweden, there is a newish form of extradition, temporary surrender, where it is thought the decision can effectively be made by politicians instead of judges. Is he better off with a judge or a politician?
Sweden has recent form for taking legal shortcuts in this area.