There's a reason chaotic lawful exists in fiction, but rarely in real life. It's because I'm fiction we're aware of the unspoken rules the character adheres to. In real life we can't see those and therefore the character appears chaotic to any observer.

I think quite a lot of neurotypical people who appear chaotic to many people have a very clear ruleset. Take Sheldon from the big bang theory, many of the jokes are around people unknowingly trespassing on his unspoken ruleset.