Bauer winning should not have been surprising at all, even if Darvish was slightly the better pitcher.
Bauer was luckier than Darvish, but not in a way most people would notice. He had better ERA, K/9, and was only slightly worse on BB/9. His big luck was on BABIP, but most non-stat nerds still believe a pitcher can have a real effect on that, so they count that as a skill.
Darvish was significantly better than Bauer in HRs, but most non-stat nerds don’t really look at HR/9 when considering who is the better pitcher.