The first video deals with Pilate's report to Caesar. Factually accurate according to the Gospels. He blames the Jews. Perhaps too good to be true?
https://www.youtube.com/watch?v=nQUJGceTH9I
The second deals with Caiaphas' report to the Sanhedrin. He gives reasons why Jesus was not given full a Jewish judicial inquiry. He blames the Romans.