IIRC about 150 pages were cut from the manuscript, presumably that includes at least one Tyrion and/or Barristan/Vic POV, which would take us to just the brink of the Battle of Fire.
If you read it with Barristan I and II in TWOW then it does feel right. Dunno the reasoning behind the cut though.
Ranking wise I'd go ASOS>AGOT> ACOK, AFFC, ADWD. I always thought the 2nd book focused way too much on Tyrion at the detriment of other main characters (granted, KL was the most intriguing place at the time)
@JustAFan the parallel to Damascus steel is clear, the ripple marking, the eastern origin and the prized nature of those weapons, as well as the lost art of making them. Also, it's one hint to the historical period most closely resembles the books's, since Damascus steel was at its most desirable during the Crusades, despite reports of their superior quality being noted as early as the Hellenistic period.