Have you ever played DW or any other PbtA game? Or even read both DW and 5e? Because DW (for all I don't rate it as a good PbtA game) is a toolbox game and D&D is an instruction manual - with the core rules being multiple 300 page books of instructions.
You know what makes a toolbox a toolbox? The fact it contains tools; without tools you just have a box. Rule 0 or "just do what you want" isn't a tool, it's a platitude. You know what are tools? Hard and soft moves. Things like "deal damage", "turn their move back on them", "take away their resources", "split them up", "announce impending danger", etc.
D&D only explicitly includes one of the tools DW includes (deal damage). So yes it has a hammer - and a couple of other tools like a hex screwdriver. But what it mostly has is instructions and kits for things like the Invisibility Spell with its explicit components (v, s, and an eyelash encased in gum arabic or a spell focus) and assembly parts (like all monsters having all six stats). This isn't a "toolkit". D&D in the WotC era is interior design using the IKEA catalogue, complete with the instructions required to assemble each piece of furniture. And the only mainline version of D&D that has come with tools beyond a hammer and a hex screwdriver since 1e has been 4e with Skill Challenges and what was eventually boiled down to the MM3 On A Business Card
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PbtA games have the MC follow the rules because when you are playing with tools like circular saws and belt sanders and have other people around you following the rules is an extremely good idea. For flat pack furniture it isn't half as necessary.