You'd think that if Sanji did anything remotely significant to Kings beak, Oda would have made it abundantly clear through dialogue. Like all we see is Sanji hurt in the ground and King not giving a fuck about him after in human form doing other shit.
Like his beak is also totally fine here after he attacks Sanji:
Compare to before when he's introducing his power:
Like guys, if King wasn't in pain or showed visible signs of damage in human form, Sanji did shit to King via the suit. Sanji himself is literally stunned after on the floor, King is not.