I'm not familiar with the case, but isn't he essentially fighting to stay in UK prison rather than being moved to the US? Sure, he's also fighting to get out of

I'm not familiar with the case, but isn't he essentially fighting to stay in UK prison rather than being moved to the US? Sure, he's also fighting to get out of UK prison, but the main fight is, not getting extradited. This boils down to a preference of where to be imprisoned?