Plus I don't think Josephus' reference to James "the brother of Jesus who is called Christ" is an interpolation, and I think it refers to James the Just and not to a brother of Jesus ben Damneus as some argue.
Josephus mentions Jesus ben Damneus by name twice and alludes to him once, and in those cases he is called "Jesus, son of Damneus" and "the high priest" and never "Christ." And why would anyone call
him Christ (who served less than a year) over other high priests (or "Christs") named Jesus, like, for instance, Jesus ben Gamaliel, who Josephus says replaced Jesus ben Damneus in Ant. 20.9.4 and served as high priest for almost twice as long and was highly regarded by Josephus and Rabbinic Judaism even after he had served. As his Wikipedia page notes:
The Talmud states; "Joshua b. Gamala came and ordained that teachers of young children should be appointed in each district and each town, and that children should enter school at the age of six or seven." He is therefore regarded as the founder of the institution of formal Jewish education.
Although no longer High Priest, Yehoshua remained one of the leaders of Jerusalem ... Josephus reports that Yehoshua was an "intimate friend," who reported a plot to replace Josephus as general of Galilee to Josephus' father. Because his father wrote to him of the plot, Josephus was able to resist it.
Yehoshua attempted peaceably to prevent the fanatic and pugnacious Idumeans from entering Jerusalem during the Zealot Temple Siege. After they had come into possession of the city, these fanatics took bloody vengeance on him, by executing him, as well as Ananus, as traitors to their country.
https://en.wikipedia.org/wiki/Joshua_ben_Gamla
That's a lot more than what is said by anyone about Jesus ben Damneus. All his Wikipedia page says about his career is that he replaced Ananus and served less than a year.
Jesus ben Damneus was made high priest after the previous high priest, Ananus son of Ananus, was removed from his position for executing James the brother of Jesus (James the Just). Jesus ben Damneus himself was deposed less than a year later.
https://en.wikipedia.org/wiki/Jesus_son_of_Damneus
So if any "Jesus" in Ant. 20 besides the Christian Jesus is meant by "Jesus, who is called Christ," I would pick Jesus ben Gamaliel over Jesus ben Damneus because he stands out a lot more. But the only Jesus I'm aware of who was ever actually "called Christ" is Jesus Christ.
Another thing going against the idea that Josephus' "Christ" is Jesus ben Damneus for me is that Josephus goes on to say in Ant. 20.9.2 that Ananias, the father of Ananus, the priest who sentenced James to death, went on to become friends with Jesus ben Damneus and Albinus (the governor who had replaced Ananus with Jesus ben Damneus) by giving them gifts, which sounds to me more like someone who is trying to say "no hard feelings" and keep their finger on the levers of power after his son was deposed (and which is in keeping with the wealth and power of the house of Hanan, as Stern, for example, discusses on pages 606-607 here in
The Jewish People in the First Century:
https://books.google.com/books?id=DPzZT ... us&f=false) rather than someone trying to make amends (through gifts!) for his son having just sentenced Jesus' ben Damneus' brother James to death.
But as for the high priest, Ananias he increased in glory every day, and this to a great degree, and had obtained the favor and esteem of the citizens in a signal manner; for he was a great hoarder up of money: he therefore cultivated the friendship of Albinus, and of the high priest [Jesus ben Damneus], by making them presents.
You know in spite of all you gained, you still have to stand out in the pouring rain.