Charlaquin
Goblin Queen (She/Her/Hers)
The Using Ability Scores section goes to a lot of trouble to lay out an approach. It's a method that is at the heart of 5e. "An ability check tests a character's or monster's innate talent and training in an effort to overcome a challenge. The DM calls for an ability check when a character or monster attempts an action (other than an attack) that has a chance of failure. When the outcome is uncertain, the dice determine the results. For every ability check, the DM decides which of the six abilities is relevant to the task at hand and the difficulty of the task, represented by a Difficulty Class. The more difficult a task, the higher its DC. The Typical Difficulty Classes table shows the most common DCs."
That all said, I don't think we're disagreeing by much. I don't buy the rulings not rules propaganda, because it is profoundly contradicted by rule books running to hundreds of pages, that players spend good money on and use much of as written. When players cast a Magic Missile, they overwhelmingly go by the rules, i.e. roll a number of d4+1s. Or perhaps more the way I understand the rulings not rules concept is that it simply states out loud something that has always happened in PnP RPG, which is that the situations that can come up, the things that players want to do, are so wide roaming, our narratives and actors so diverse in the particulars, that no rule set will ever cover everything that we might imagine. The incompleteness of rule sets, is what calls for rulings. Rules and rulings: the rest is propaganda
I would recast your framing as - The rules set forth an approach: the group uses and as necessary modifies that approach to achieve their goals.
Not to speak for Iserith here, but I’m pretty sure you’re misunderstanding what they meant by the word “approach.” You’re describing the approach the DM uses to resolve actions. Iserith, unless I’m very much mistaken, is referring to the approach the PC uses to attempt to achieve their goal. The rules don’t say what approach or approaches to the goal of jumping an unusually long distance have uncertain outcomes. That falls to the DM’s judgment. Some DMs consider, “try to jump more than my strength in feet” a viable approach to the goal “jump further than my strength in feet” to have an uncertain outcome in most if not all situations, while others (such as myself) don’t consider it to have an uncertain outcome. The rules (to their credit, in my opinion,) don’t tell us if either is right or wrong.