I'm didn't say Dashiva went to the Black Tower on his own, or that Arangar went to Egwene on her own, or that Semirhage and Mesaana decided by themselves to go to their various locations.

It was ALL centrally directed, from about LoC onwards, possibly earlier.

So Arangar and Dashiva were both reporting to Moridin. But the fact that Arangar was in Salidar, meant that Moridin HIMSELF was not directly responsible for it. In the same way, because Dashiva was there for a brief period, it suggests that Moridin himself wasn't the one running things at the Black Tower DIRECTLY.

So the question is, before and after Dashiva's presence at the Black Tower, who was running it? It isn't Moridin, since Graendal says he is focussed on gathering the Shadow's forces in the Blight - a task we thought might be given to Demandred before.

So, who was running the Black Tower in Book 6? And who ran it after Dashiva was allocated to Rand's entourage in the Prologue to Book 7? It was either Demandred, or Taim himself.

I think it was Demandred all along, and that Taim was never more involved with the Black Tower than he was with the White Tower or with the Salidar Aes Sedai, or with the Seanchan.

So from the one extreme - where Linda Sedai suggests that Moridin is Taim himself, I propose the exact opposite, that Moridin is in fact not involved with the Black Tower at all, anymore than he is with any other part of the Shadow's campaign.