Saying a game is a PbtA game doesn't tell us much more about it than telling us that a game uses percentile resolution.
I made a particular claim, about a particular RPG: Apocalypse World. So when you restate my claim as something else, that I didn't say, I am going to politely correct that.
If you want to tell all those 5e players who insist that the ultimate rule of 5e is not "GM decides" that they are playing the wrong game, or are rejecting a "core concept" of 5e D&D, that can be your crusade! I am simply pointing out that, on previous occasions, I have seen may 5e players get quite irritated by the suggestion that 5e D&D is a game of "GM decides".
I haven't said that D&D doesn't have a resolution system. I have said that there are possible action declarations for which 5e D&D has no clear resolution system, and I've even given an example: I jump the crevasse in circumstances where it is established that the crevasse is wider, in feet, than the jumping PC's STR score, and where the jumping PC is not under a Jump spell or similar magic.
Who does?
I don't pretend I'm using one resolution system when I'm really using another. If I've made a decision, and the rules of the GM I'm GMing invite me or instruct me to reveal my decision, than I reveal my decision.
We're talking general approaches to game philosophy. I don't see why the specific PbtA based game matters. In D&D and related games, the DM makes the final call. No appeal to authority by saying "others agree with me" changes that it is simply a different form of resolution. One I like and you do not. The way PbtA games handle it just don't work for me. The way D&D handles it doesn't work for you. Big deal.