Sorry for the self-reply, I couldn't figure out how to edit the comment. I tried it now, it's very good. I love the fact that you can just move from one suspect to the other quickly.

You'll need to generate and give the characters a canonical current date and time, that will fix a lot of different subtle issues.

You have a huge break of character or the fourth wall whenever the player makes an accusation, the character goes like "you're making a serious claim, let me formally validate it before I respond" and then they refuse to reply to anything else while "the response is being validated".