Being down on something isn't a specific bias or hatred. The language of that gist was chosen specifically to evoke the way people can act or be thinking badly about something, without a specific bias. Can you feel the difference between the guy who has his back up with an "I hate my job, no ifs ands or buts about it" attitude, and the guy who's like, "I've just been down on my job lately"? The former is a specific thing, the latter is more fluid and harder to pin down.
I actually have trouble seeing "being biased against one's self" as a real thing. You could be biased to have X opinion about yourself, "I'm bad at math", "I'm no good with women", etc. -- those are all Fixed Attitudes. But to be biased against everything about yourself sounds more like Psychology to me.
No, if the belief stems from the delusion, then if you take the delusional thinking away, the belief is gone too. That's the beauty of the litmus test, it helps you figure out what the source of the problems is. Remove the source, you remove everything that was caused by it.
In this example, I wouldn't even call the belief stemming from the delusion a "Fixed Attitude belief"; it's more of a transient thing that stems from a problematic Way of Thinking. (though I get you might have just put that term in there to help communicate one way of seeing it)
That's the thing, just because you can call something "disliking fear" doesn't mean it is a
Fixed Attitude. Maybe the disliking fear is just part of a problematic way of thinking (Psychology).
Think of The Matrix, Agent Smith definitely has some psychological issues and problematic ways of thinking: "I can taste your stink. And every time I do I feel I have somehow been infected by it. It's repulsive, isn't it?". And his attempts to manipulate Morpheus into giving up the location of Zion could be seen as manipulation. But I can't make myself capitalize those terms because they're not the OS's throughline domain; the problematic Activities of making humans into batteries are the root causes of problems in The Matrix; remove those and Agent Smith's psychological issues don't matter a whit. (EDIT: it's likely that scene with Agent Smith's speech of hate is actually showing the Story Cost of Innermost Desires - his hatred of humanity is a cost that both he and Morpheus must bear).
Regarding your summaries, I'll have to think about those more. I'm having trouble separating them, it almost seems like all three of them are about the same thing, facing vs. avoiding fear / suffering.
EDIT: I wonder if you are thinking of things more at a theme level, the level at which there is commonality between everything in the story, and your summaries reflect that? I mean, you could have an story about facing fears with the OS in any domain. (Sort of like Star Wars is about learning to trust; most people may not realize that, but it's common across the whole story.)