Even setting aside the issue of how much Rand should believe when a single non-credible source accuses a man without proof, it's ludicrous to think that Aes Sedai require a warning from any man to be as careful and wary as possible in dealing with a male channeler and past false dragon who has killed sisters in the past, or with a group of male channelers. The Aes Sedai could not be more careful or wary if Rand came to each sister before she left for the Black Tower and told them personally all of his experiences with the renegades, and procured Logain to share his suspicions. If in fact Egwene holds any unpleasant experiences of her daughters at the Black Tower over Rand, it will be in the nature of a political gambit, with absolutely no justice to the claim, as in her contradictory inaugural addresses to the Hall and to the rebels.