You would have to look at the rules governing previous testimony and deposition. Both are admitted as evidence given the capacity of the witness. Luke deposed numerous witnesses to gain the history of Christ’s life and ministry. Those witnesses were first hand accounts and are no longer available for cross examination of their testimony. However their deposition as presented by Luke is not thrown out of court when considering the preponderance of the evidence.
You claim Luke deposed witnesses. I see no evidence of that. I see credulous stories, not attached to any witness.
When you claim Luke deposed witnesses, you are making it up.