As far as I know (I never was that avid a reader of WT stuff) an attempt at refuting the tablets was in the 1981 Book Let your Kingdom Come
*** kc p. 187 Appendix to Chapter 14 ***
Business tablets: Thousands of contemporary Neo-Babylonian cuneiform tablets have been found that record simple business transactions, stating the year of the Babylonian king when the transaction occurred. Tablets of this sort have been found for all the years of reign for the known Neo-Babylonian kings in the accepted chronology of the period.From a secular viewpoint, such lines of evidence might seem to establish the Neo-Babylonian chronology with Nebuchadnezzar?s 18th year (and the destruction of Jerusalem) in 587/6 B.C.E. However, no historian can deny the possibility that the present picture of Babylonian history might be misleading or in error. It is known, for example, that ancient priests and kings sometimes altered records for their own purposes. Or, even if the discovered evidence is accurate, it might be misinterpreted by modern scholars or be incomplete so that yet undiscovered material could drastically alter the chronology of the period.