You are applying a decision theory to the node C, which means you are implicitly stating: there are multiple possible choices to be made at this point, and this decision can be made independent of nodes not in front of this one.
Yes. That’s basically the definition of CDT. That’s also why CDT is no good. You can quibble about the word but in “the literature”, ‘CDT’ means just that.
Yes. That’s basically the definition of CDT. That’s also why CDT is no good. You can quibble about the word but in “the literature”, ‘CDT’ means just that.
This only shows that the model is no good, because the model does not respect the assumptions of the decision theory.