That Rand would use the True Power in those scenes seems to contradict everything it's all about.

The subtext in the scene where he used it was that he had embraced evil and was in communion with Shai'tan himself. He bathed in his presence through him, its power, its ectasy. This was also the state of mind completely opposite to the one Rand experienced at his epiphany, which made him decide to go on and save the world. It was a dark, evil, nihilistic state of mind. Rand can't be in that state of mind and wish saving the world. Through several books, Rand's loss of feelings and humanity has been presented as his great weakness and a grave danger for the world. It's what Min, Cadsuane and co. all feared, going as far as saying a Dragon like that would be as bad as victory of the DO... It goes way back, the first sign of soemthing "wrong" with Rand and his emotions came from Asmodean, who told him it isn't normal that he felt no emotions once he's connected with saidin. That Rand would now need to embrace that evil state of mind at SG is in flagrant contradiction with many of the themes. He couldn't maintain that state and use his bonds to his women or his connection to Perrin Mat. It's a utterly evil, unhuman and nihilistic state of mind.

Another logical problem with the theory is that it manages more or less to explain that Rand can draw the TP from his connection to Moridin. That's all well and good, but it combines this with the fact Rand will use Callandor with two women. We don't even know if it's possible to form a circle using the TP (and personally I highly doubt it... the whole themes surrounding the Shadow is "every one for himself", but let's say it is for the sake of it. What we know, though, is that a channeler must be placed on the verge of embracing the source to enter a circle. With which two women Rand could possibly do this using the TP? Which two women near Rand could put themselves in the proper evil state of mind to embrace the True Power? Moiraine, Nynaeve, Egwene, Alivia, Cadsuane? LOL! Rand trying to explain to Nynaeve that in order to defeat evil they must agree to fully embrace it and be in communion with Shai'tan himself, and let his essence run through them would make for a rich scene, one that would end with Nynaeve (or Moiraine, Egwene, Cadsuane... take you pick) kicking the hell out of Rand. The whole thematic structure of this doesn't work and contradicts Rand's epiphany. Rand had to become one with Creation and with humanity, which began by fully embracing his feelings for his loved ones and friends. The TP is the opposite, a utter rejection of all that, cold as ice hatred and nihilism.