That the DO as the "ur-contro-freak" normally can't like this link between Rand and Moridin. Maybe the DO even won't allowe Moridin to use the TP anymore (which would be quite dramatic for Moridin, considering his addiction).

On the other hand, the DO might consider to let Moridn explore the link more, trying to determine if Moridin could kill or subdue Rand using the link (of course, this would likely lead to Moridin's death in the end).

Maybe Demandred will even get his chance to become Nae'blis then. He is the only Forsaken left, who apparently didn't really fail yet (except for preventing the Cleansing, but that was basically a failure of the whole Shadow-side), and has therefore still a high-standing.