Let's step away from the more abstract post on dissociated mechanics and instead focus on specific mechanics. I'm pretty sure almost everyone will agree that a once-per-time-period ability is not dissociated (or is less dissociated) if it seems to be tied to resting: if an encounter officially ends after a five minute rest, for example, once per encounter abilities seem like tiring abilities, and once per day abilities seem like something that requires time to "reload" or re-prep (like Vancian spells.) The spectacular one-handed catch suggested on The Alexandrian seems to raise a lot of hackles, however. I'm actually not that disturbed by a once-per-day or once-per-encounter version of that ability because it's "intermittent luck", as I mentioned previously. If an ability seems highly improbable, you can assume that there would be at most one opportunity in a given encounter or day to actually do that. I might balk if the ability seems more probable, like a once per day Taunt ability.
But what I'm interested here is comparing people's reactions of Intermittent Luck to Universal Competence. This would be something like some of the Instincts in Burning Wheel: "Always have my sword ready", "Never lose my dagger." You could also include some of the class abilities I've suggested in the past: "Use any weapon", "Speak with any spirit". Do people think of mechanics like these as more dissociated, or less dissociated, than Intermittent Luck?