I don't have the book with me at the moment, but there is a scene at the end of TWoK, where Shallan confronts Jasnah about the fact she can Soulcast with out needing a Soulcaster. She ends up showing Jasnah the picture she drew of Shadesmar, then to prove that she actually went there, instead of simply reading/hearing about it, she asks one of the Cryptics following her (possibly Pattern, but it isn't actually stated if it was him or not) to take her back. They reply she needs a truth. She states that Jasnah's Soulcaster is a fake, adding that she's sure of that. The Cryptic then tells her it has to be a truth about herself.
That section seems to disprove your theory. The truths that matter are truths about herself. The point of these truths seems to be self-discovery. She needs to accept the truth of who she is, and what her past is. She's told by Pattern that while her lies are what drew him in the first place, she needs to accept the truths about herself as well, because both are a required part of her order.