Which might make Cadsuane freak out even more when she learns about the amount of saidian Rand just used, considering what lies close to Dragonmount...
Was there an Asha'men in that room? Min's emotional access, even with distance, will reveal things that all is well swiftly.
I am not so sure a madmans emotions is something to trust.
Look at how it could seem. When Rand left, he was in a place where he had just nearly killed his own father, he had just been about to destroy the borderland army just because they did not want to meet with him, and then he leaves to destroy the Seanchan. Then he appears in a place far from where the Seanchan are, but quite close to someone else he has good reasons to be seriously pissed at - the WT. He goes through an emotional rollercoaster, uses a huge amount of Saidin, and all of a sudden he is in a jolly good mood.
He's on Dragonmount for a few hours before he draws alot of the One power through the CK. This is a lot of time for Min and Cadsuane to worry about his intentions.