I like how you're making use of standing K in the neutral game.
When I thought about it, I kind of thought of it as a change up to 3K in a way. I mean you know how I'll wave dash into a 3K as Hayate but thinking about K being used that way kind of makes a sensible choice too.
Standing K lightly stuns on NH and even if it's blocked, there's a follow up to push the opponent off you if they want to get button happy. I don't remember if that follow up tracks (not that it really needs to) but if it does that makes it an even better entry/keep out move.
That being said, if you catch someone on CH+, it's an even deeper stun to play with, which is nice. Same applies to 9P in a way but K probably out ranges it... maybe I'm over thinking this though.