Read Vicious Hunt again.
Vicious Hunt: Kill Command prepares you to viciously attack in coordination with your pet, dealing additional physical damage with your next Kill Command
“dealing additional physical damage” is not “increasing the damage of your next Kill Command”. They even use the exact same modifier you’re misreading in this very tree.
Carve or Butchery increases the damage of your next Carve or Butchery by 25%
talk about splitting hairs lol. “buffing kill command doesn’t necessarily mean buffing kill command”.
It’s a separate damage instance. It has nothing to do with Kill Command’s damage. Can you not understand that?