Not right away. I'd want explanations for why they had never come forward before, explanations for why no one else had come forward. Other witnesses who would confirm their story or a good explanation of why such witnesses don't exist. I'd like an MRI to confirm they're describing events from memory. I'd like documents confirming the story. Some combination of these things could raise my probability estimation to belief-level. Frankly, it's such a complex conspiracy that a detailed account of how exactly it went down would put it on my radar.