One could be called "bug" irrationality, not referring to insects but rather bugs in the design of our minds, ways in which our minds could be better designed. This category includes things like hyperbolic discounting (also called myopic discounting), as well as general failures to correctly apply laws of logic and probability.

I immediately thought this should be called feature irrationality, before I reached the other part. In fact, I would probably call both of them feature irrationality, and something like schizophrenia bug irrationality. Even cognitive dissonance could be seen as a heuristic optimizing for approximately true beliefs.