Of course is there a difference between these moves / strings. KK7K contains three kicks that cause a stun on normal hit, deal higher damage and therefore increase the stun level faster as PP7K or a single 7K do. Not sure what you mean with "cross up", but if you're talking about moving right underneath the opponent with a free cancel after the 7K launch, PP7K and 7K will only work from stun level 2 or higher due to this.
I know.... I've been using other attacks to ensure that the the Final Move,



, always lands on the desired Critical Level.
Anyway... it seems like the ability to move right underneath the opponent has a bunch of weird factors. To give you an example of what I mean... a raw



on normal hit is enough to get her to sneak right underneath Gen Fu..... with no possible Follow Ups obviously. However,





doesn't seem to have the same effect, at best Gen Fu lands right ontop of Kasumi.... from there it can go either way... Kasumi can either sneak right underneath or be at some weird angle next to Gen Fu. My current theory is the


pushes the opponent back, causing the Flash Kick to barely connect..... meaning Kasumi is less likely to Sneak underneath... its not impossible though.... its just not Likely.
A raw



also seems to have a slight Delay before Kasumi teleports....
I don't know what it is but it seems like using different strings leading into



and a raw



will yield different results even if you can get them to land on the same Critical Level.
It just feels like



and





are more likey to get her to Sneak under her Opponent due to it being less likely to create a big gap inbetween her and the opponent.... atleast as far as Gen Fu is concerned.
It seems like I need an entirely differen't theory for lighter Characters.
There's nothing weird with it. Yes, KK will always hit, but using the P ender has also it's benefits sometimes.
And it's called "Hoshinpo" btw.
I know, Sweetness.... its just not as catchy and memorable

.... I'l be sure not to use my special name for it in front players not familiar with the character..... I call Hayabusa's Ongyoin Stance The "Onion Stance". Anyway:
"Hair Shampoo"


and

seem to have the same Wall Splat Range... however

will knock the opponent further away than


will....... I found this to be significantly advantageous on Stages with Open Ledges like Ends of The Earth and Lost World..... I would assume its the same on The Dangerzone.
I wish Kasumi's



could trigger Floor Dangerzones.... and I wish it had a shorter wall splat range.