Swedish prosecutors would not guarantee Assange would be spared hypothetical extradition to the US because it would be prejudicing an application that had not even been made. The US might adduce evidence of a crime that Sweden might decide was not political in nature. They reserve the sovereign right to make that determination. They did acknowledge being bound by the Doctrine of Speciality, meaning they could not extradite to a third country without Britain's consent: https://www.aklagare.se/en/nyheter--press/media/the-assange-matter/kan-assange-utlamnas-fran-sverige-till-usa/
Jumping bail is one thing, but he has fled bail for around 6 years now, and cost the UK millions in honouring its obligations to Sweden.