Aldarc
Legend
I remember running several one-shots of Fate for my prior gaming group when the GM wanted a break from running D&D. There was a great epiphany moment and bewildered joy when the players realized that a lot of the things that the various minutiae rules for actions that D&D gates and lavishes pages of ink towards were essentially all bundled into the standard "Create an Advantage" action in Fate.I get the idea of hiding mechanics for the purpose of having players engage only with the fiction, I just don't think it's necessary. I think a player can both be aware of the rules, and engage with the fiction. I think there are some systems that make this easier to do. I would agree with you that the more rolling modes or other elements that get added to a game, the harder this likely becomes.
I think one area where D&D struggles with this is it gates certain action types behind feats and spells and the like, making something that seemingly anyone should be able to try (like, disarming a foe, for example) possible for only a select few. This complicates things because then you either are blocking engagement with the fiction by saying "oh sorry you can't try and disarm this guy because you don't have the proper feat" or you create two sets of rules, one for characters with the feat, and then another for characters without.
This is the kind of complexity I think makes engaging with the fiction harder. There are other ways to add complexity to a game that don't have this kind of effect.
Trying to temporarily blind someone by flinging up sand from the ground with your sword? Create an Advantage. Trying to hide behind cover for extra defense in the gun fight? Create an Advantage. Using an elaborate disguise to get past the guards? Create an Advantage.
The result of this epiphany? The players engaged the fiction even harder than before because they understood how their fiction they created and this rule intersected.
It's a simple concept that covers such a diverse range of action types behind a single robust enough rule.