I think the MC adage in 2e to ‘push for (player) moves’ as a threat drive is a very real indicator for the MC to be aware of what Stats are highlighted and endeavour to frame scenes or triangles that encourage those narrative triggers for those highlighted stats. The cheat sheet which lists moves by stat re-inforces this (for me) as MC.

Also, I maybe remembering oldskool, but I think the replacement stat moves are optional depending on how that narrate the trigger in the fiction? Like the Battlebabe can have Ice Cold, but choose to roll with Hard on Go Aggro by being all nasty and up in an NPCs face like a Gunlugger just because Hot is highlighted on their sheet?