If I understood correctly, and if I now remember correctly,
(1) it appeared that the Supreme Court allowed the Scottish Lord Advocate’s appeal, contrary to the Scottish High Court’s denial (I don’t know whether the correct terminology would be “set aside the Scottish High Court’s denial of permission to appeal,” but I think it amounts to something like that);
(2) the Supreme Court disagreed with the Scottish High Court’s opinion that extradition under the circumstances would run contrary to human rights principles;
(3) the Supreme Court reversed the Scottish High Court’s judgment (“reversed” would, I think, be the U. S. term in this situation); and
(4) I’m pretty sure the Supreme Court remanded (U. S. term) the case back to the Scottish High Court (if the Supreme Court didn’t say so explicitly, I think I read somewhere that that’s what they’re supposed to do).
In the meantime, though, I thought that the extradition had hit some other kind of snag a while back, but I somehow had the impression that the snag was not necessarily a permanent one (either I forgot what the snag was, or I didn’t understand it properly to begin with, or I misunderstood it altogether and it wasn’t even really a snag).
I haven’t been keeping up with the matter lately, but unless something has happened while I haven’t been paying attention, I think it’s still sort of up in the air. I won’t be surprised, though, if I find out that I’m wrong, one way or the other (i. e., if I find out that he’s definitely going to be extradited, or if I find out that he’s definitely not going to be extradited).
Edited to add:
I found the thing that I thought was a snag (to me, it doesn’t really look like much of a snag now). Taiwan filed another extradition request in 2016, on new grounds (his escape). This is the picture caption of a BBC piece from October of 2017: