The CHI passage is There now ensues a succession of monarchs named Theonesios ... or Attambelos ... up to about 113 CE.
Only one Prince of another name occurs -- Abinerglos or Adinerglos (ABINH...) -- reigning during the second decade of the Christian era and probably to be identified with the Abbinerigos mentioned by Josephus [Antiquities 20.2.2].
Firstly, other than Theonesios ... or Attambelos, there are now quite a few names additional and beyond Abinerglos in the list of Characene Kings.
Therefore, the Josephan passage is literary evidence for the existence of the Charax King Avenneirigos during Claudius' reign between 41 and 54 CE.
This is not however consistent with the current list of Characene Kings, so further investigations must be undertaken, starting with Schuol (2000) op cit (the English translation of the German eagerly awaited).