Legion's HUNK legendary uses the normal run animation for Feral Frenzy
This is on all platforms and occurs whenever the skin is equipped.
The animation doesn't match the movement speed at all, especially if it's increased by using the power or using perks. There's also no animation for a slower movement speed either as seen at the start of this video. I don't know if this is unique to HUNK but I know at least Nemesis has a unique walk animation.