And if you take dreadwyrm earring+true ice bracelet it weighs even higher than both.
True Ice Bracelet of Slaying + Augmented Ironworks Earrings of Slaying = 44 str, 22 acc, 29 crit, 14 det = 54.91
Augmented Ironwork bracelet and the Dreadwyrm earrings = 46 str, 22 acc, 26 det, 15 ss = 57.286
Now True Ice Bracelet+dread earrings = 44 str, 29 det, 14 crit, 15 sks = 59.83
So yes, ilvl isn't the be all and end all depending on secondaries

Thats calculated with MNK stat weights Other jobs will have a slight varience in results due to sks. For t10 to 12 I have enough accuracy to use that pair, for turn 13 I have to switch to Dread bracelet for the acc, Dread Bracelet weighs slightly higher than the aug ironworks one. Albeit when my ring finally drops I will have to switch to aug ironworks one for the increase in acc as will lose acc switching from second unauged ironworks ring to dread (already have one augmented ironworks ring).