I agree. I worry that anthropomorphising these conflicting thoughts just strengthens the divide.

I like your comment "All this has very little to do with actual agency or the workings of akrasia, though, and tends to interfere with the process of a person owning up to the goals that they want to dissociate from. By pretending it's another agency that wants to surf the net, you get to maintain moral superiority... and still hang onto your problem. The goal of virtually any therapy that involves multiple agencies, is to integrate them, but the typical person on getting hold of the metaphor uses is to maintain the separation."