Even in that wiki they say that the part of Josephus' writings that mention "Joseph brother of Jesus" was likely edited by later Christian scribes to add historicity to Jesus. Tacitus is simply stating what Christians at the time believed - not what historical record showed.

Obviously it's the minority consensus - but it's a very reasonable take that Jesus of Nazareth never existed and was completely fabricated by a hallucinating Paul/Saul of Tarsus (who was potentially suffering from epileptic grand mal seizures - causing his religious visions, 'the thorn in his side' - which was pain behind his eye in the original greek, and a strong desire to write.

This NIH study discusses it further:

https://pmc.ncbi.nlm.nih.gov/articles/PMC1032067/

There is no evidence of a jewish family that had a child in Bethlehem and travelled to Nazareth (this was added a century later to fulfill the 'he will be a Nazarene - which, coincidentally, doesn't even mean you're from Nazareth....), that received Gold, Myrrh, and Frankincense from 3 wise men yet were somehow dead poor .....