Thanks Veradico. Furuli's book on chronology vol. II is still not available (I guess because of translation not being finished). On his website he does make an interesting comment:
A word of caution
Ancient history cannot be proven, because there are no living informants. And any attempt to make a chronological scheme of the kings of ancient nations is tentative. The Oslo chronology does not claim to represent the final word of the matter, but it represents a new approach to chronology. It does not generally challenge the interpretations and datings of astronomical tablets by experts such as Sachs, Hunger, Watson, Steel, and Brack-Bernsen, but it asks about the origin and quality of the tablets in question, thus scrutinizing the connection between the dates and regnal years of real kings. Its advantage is that the cuneiform data are not seen through the glasses of the traditional chronology, but the evidence of each tablet is presented in its own right. It is also an advantage that published cuneiform sources are much more numerous and much more complete than was the case 50 years ago when Parker and Dubberstein did their work. The real importance of the Oslo chronology, therefore, is not that it has established "the only true chronology", but that it has demonstrated that neither the accepted chronology which is based on P&D is "the only true chronology" .
There is some truth in it. What Furuli fails to mention is that Neo Babylonian chronology is well supported by historical documents and is surely not a period where a lot of discussion is still going on among scholars (except on details). Furuli basically rejects 90% of the accepted chronology from the 5th to the 7th century BCE. Honestly, on numbers alone, what are the chances that he is right?