> The courts can only stop extraditions, not non-extraditions.
Not sure what you are implying by that. An extradition is tried in a court (if the person to be extradited does not want to be extradited). The supreme court tries the extradition against the legislation and then hands it to the government for decision [1].
I think you may be thinking about this passage from[1]:
"Anser Högsta domstolen att det finns hinder mot utlämning, får regeringen inte bifalla framställningen. Regeringen kan dock neka utlämning även om Högsta domstolen inte har motsatt sig en utlämning; i lagen anges nämligen att en person under vissa förutsättningar "må" utlämnas - inte "ska" utlämnas."
It says that if the courts find that extradition is NOT legal, then the government may not extradite, but if the court recommends the extradition (i.e. find it legal) then the government can still deny it.
So while it is true that the govrenment CAN in any situation reject any extradition - it is out of the question for a government to forego the court process. This would be known as "Ministerstyre" (an action by a member of a government or a cabinet, which is to be interpreted - or can be interpreted - as dictating, or interfering with, the daily workings of a government agency, court of law or similar.).
One can call that "bureaucracy" but the fact remains - the swedish government would just not do that.
[1] http://www.regeringen.se/sveriges-regering/justitiedeparteme...