Is the Baptist Passage in Josephus an interpolation by Hegesippus?

[Giuseppe]

A reason to think so is that we see in action the same relation of cause-effect:

• • Death of James ----> Vespasian sieged Jerusalem, in Hegesippus
  • Death of John ----> Aretas defeats Herod, in Josephus

• • James shows the "Gate of Jesus", in Hegesippus
  • John shows the "Baptism of John", in Josephus

• • A description of the virtues of James the Just, in Hegesippus
  • A description of the virtues of John, in Josephus

• • The appellative "the Just", referred to James, in Hegesippus, without apparent explanation
  • The appellative "the Baptist", referred to John, in Josephus, without apparent explanation

[Giuseppe]

I should add:

• • the Jews and scribes and Pharisees fear too much the power of persuasion by James, in Hegesippus
  • Herod fears too much the power of persuasion by John the Baptist, in Josephus

• • James "was not killed by the fall", but later by a club, in Hegesippus
  • John the Baptist was not killed where he was arrested, but later, in Macherus, in Josephus