I don't believe you're actually deducing clues, but rather associating them with someone. Shirach has a lot of really good connections (the Anglo-Boer War, Henry Ford, etc.), but with Speer, there's nothing coherent in terms of feedback when you first navigate the page.
Added 6 minutes later
What's ambiguous about that? I was sure that the Mafia killed the Investigator, whom they couldn't kill with their ultimate ability on the first night. But then, thanks to Ment's hints, I realized that the Investigator was still alive, and he's executing Yashur not because he predicted something before the game.