This idea has internal relevance as well. You could easily consider, for instance, the self introspecting at home who wants to lose weight and the self in a restaurant who wants to order cheesecake as two sides of a Silver Chair**. And I think that view is more helpful than just calling it "akrasia", because it presents the situation as two aspects of your personality which happen to want different things, instead of some "weakness" which is interfering with your "true will". Then instead of castigating yourself for weakness of will, you merely think "I suppose my desire for cheesecake was stronger than I anticipated. When I return to a state where my desire to lose weight is dominant, I shall have to make stricter plans."

IAWYC, but I have trouble with this particular example. Quite often when I do eat that piece of cheesecake, I'm thinking "Oh no, I hate myself, I really shouldn't be doing this". On the other hand, I have no such feelings when the diet-self wins out over the dessert-self. That suggests that there is some fundamental asymmetry, and not just two different but equal selves involved.