The UK have already heavily bent (broken) the extradition rules in the favor of the US. I don't think the UK will mind as long as it doesn't cause public uproar.
Most notably, the UK-US extradition treaty, which has exemptions for political offenses (e.g. espionage), has been found not to apply.
This article is decent https://theconversation.com/julian-assange-how-british-extra..., but from the middle of the trial. Craig Murray's blog is also a good source of info.