Richard Carrier's claim that all extra-biblical sources simply copy Gospel accounts is refuted by Tacitus's late date and hostile stance

Richard Carrier claims all subsequent historical claims about Jesus are based on the Gospels. Licona counters: (1) Tacitus, writing around AD 115, would require early Gospel dating if he read them; (2) Tacitus viewed Christianity as an evil superstition — why would he borrow from Gospels?; (3) the misspelling of Christians as "Chrestians" doesn't make sense if copying the Gospels. These are ad hoc explanations with no supporting evidence.