It makes no real sense that the Moridin first wanted Semirhage to capture Rand with the DB in KoD (as stated in TGS, prologue). Then SH actually frees Semirhage to try it again. Exactly in the moment, when she succeeds, when Rand is breaking, since he is killing Min, the DO would prevent this by saving Min and killing Semirhage due to giving Rand access to the TP.

It makes more sense that Rand managed to take the TP through the link to Moridin and that the Shadow couldn't foresee this. If Rand wouldn't have done this, the Shadow had likely won, because Rand would be a prisoner at SG, tortured by Semirhage, and Min dead.