They would! Oda only wants to know the ones that he needs to know the truth of or else he's going to murder someone (most likely Mitsuhide himself...) because it's not like Oda can lie or obfuscate even a little.

Also, how kind of you to offer that list idea! Oda doesn't even pretend he's going to help put in the work. "Good thinking! I'll leave it to your capable hands then!" GIANT GIANT GRIN! Cold eyes, but giant grin, all the same.