Those are all categories I felt would be things related to knowledge and performance where the capabilities of a PC would differ from a player without impacting the decision-making element for the player in the same way that a being stronger than the player doesn’t impact their decisions of what to do with said strength.
Say the character encounters a puzzle or riddle or has to interpret a clue. They have to engage in some form of logical problem solving. Does the character's smarts stat figure directly into this or is it the player solving it? Does the character's intelligence matter here in a mechanical sense?
If elements of it are relevant to Arcana, Lore, Engineering, observable patterns (Insight), Nature or Medicine they would get information the player would get additional information based on their areas of expertise; but Intellect expressly isn’t the stat for “performs cognition” in my games.
As I describe under Insight, it’ll help you see patterns (this is connected to this) or note what doesn’t fit (okay, he had means and motive, but there’s no evidence he had any opportunity… there’s something we’re missing).
It (usually*) doesn’t give you outright answers. The player still needs to make the cognitive leap from “Ted’s body was found out on the lawn this morning, he had been stabbed to death, you found blood on Jane’s coat hidden in the back of the closet, no one knows where she was last night, and one of the kitchen knives is missing” to “Jane stabbed Ted to death last night.”
Your mental attributes will supply you lots of information, but it’s not cognition. Cognition is for the players to do.
* sometimes something is meant to be so obvious no roll is needed (the ice cream is gone and little Bobby has ice cream stains all over his face and shirt), but if a player really doesn’t make the leap I make them roll in front of everyone as I say “DC 0”** to drive home how dense (or more likely distracted) they’re being before giving them the answer.
** Ironically, I HAVE had that roll fail because they had a -2 modifer and rolled a 1.