I think that what I am trying to argue is that bhava tanha is the craving that produces, or results in, views of an existing self. So I need to explain my understanding of views. This is difficult because I am still working on this problem. But here is an outline of my present understanding of views:
"That eternalist view is a formation. That formation what is its source, what is its origin, from what is it born and produced? When the uninstructed worldling ... is contacted by a feeling born of ignorance-contact, craving arises : thence that formation is born." Parileyya Sutta.
So the eternalist view is produced from a craving, that means that it belongs at the level of clinging in the D.O. formula. We know that one kind of clinging is 'view-clinging'.
My understanding in outline is this: When someone is clinging to an idea they are said to have a view. The idea itself is not a view. It is only when the mind becomes obsessed with the idea, and clings to it, that they speak of a view. This means that there is no view other than view-clinging. This should not be called 'clinging to views' - what is clung to is an idea. It's the clinging that makes it a view.
It follows that the craving that produces the view-clinging is not a 'craving for views' but a craving for ideas. The term 'view-craving' was used in some early discourses, but was later replaced by other terms. One of these is 'dhamma-tanha' or craving for mind-objects.
In MN 9. 38 craving (in D.O.) is said to be sixfold, craving for form, sounds, odours, flavours, tangibles and craving for mind-objects. The first five comprise the craving for sensual pleasures (kama-tanha). Which leaves one other kind of craving - craving for mind-objects. This is craving for ideas, and is the craving that produces view-clinging and therefore views.
This means that when talking about views we have to separate the 'conceptual content' aspect from the 'mental clinging' aspect. The content of the view is just an idea or a group of ideas. These are not, in themselves, a view. The mental clinging depends on craving, feeling, and contact with the idea. It is the mind becoming obsessed with that idea.
This is why I argue that 'views' are not 'normal beliefs' but what we would call delusions or obsessions.
I will argue that bhava tanha (existence craving) is the craving that produces views of an existing self. And that vibhava tanha (non-existence craving) produces views of a not-existing self. These are, therefore, special forms of dhamma tanha.
Best wishes, Vincent.