Depends whether your facing a Kitana that just spams fan toss over and over or one that actually tries combos.
The match up is normally in Skarlet's favor by a bit.
Nope
The only instance where Skarlet has an edge in this MU is when she corners kitana, otherwise, Kitana has everything going for her right from the get go.
The Sais on High Born don't need to directed, if Kitana players don't specify the range with back or towards after throwing it, they just track on their own, which Skarlet can't counter unless she is at jump range
Kitana Has a higher and faster Jump Arc and can jump projectiles, even tentacle on reaction, her jump normals are very good, Skarlet can't jump projectiles such as Kitana on reaction since she has a terrible jump.
Kitana up close is a nightmare, her pressure has no gap and its -7, has an overhead with a 1f gap that has to be flawless block otherwise its -7 and even if you flawless block there is at least more than 10f blockstun before she becomes vulnerable for a solid punish, Skarlet U2 doesn't even reach.
In Fact Skarlet can't consistently U2 kitana at all after certains flawless blocks, since Kitana is always pushed backwards, no gaps in pressure, 1f flawless gaps, and cancelable stance with literally no recovery frames
In a nutshell, Kitana can fire as many fans as she wants on given range, jump as much as she needs, and when up close her pressure is superior, and punish you hard if you take a risk.