"Nega Saver is clearly talking about Base Kiara not Beast Kiara as it's in Base Kiara's Section"
"Although the scale of the existence of the Pleasure Deva that was born once on the moon is superior to Beast III, they say that she had no choice but to withdraw when faced with a messiah since she did not possess this skill."
Nope.
Regarding Kiara's Np. It's Mindhax, she's literally using her authority to get pleasure from a planet before melting people with that vortex of pleasure.
"Turning into the floodgates of all the desires of humanity, she ushers the souls of people into her body by Code Cast Banshokuyuutai and creates a whirl of billions of pleasure. The whirl of pleasure melts sapient beings and transforms their lives into the sublime in the twinkling of an eye. It is the birth of an ephemeral but eternal Land of Bliss. This whirl of pleasure works on any sapient being without exception, no matter how different the structure of their intelligence is. This is not a noble phantasm limited to the Earth."
Worth noting that she is also using her Banshokuyuutai (Lust Bondage) code cast in the np. Which is works on the soul and mind to further buff the damage.
"It's a codecast used with the aim of performing mental care, however since it has the risky potential to be used to violate a person's human rights, Kiara herself sealed the software away and labeled it as an illicit program.
It invades the cyber brain of its target, and by analyzing brain signals, communication and response to stimulus, the software can freely read the contents of the target's mind and soul."
Her CCC Matrix Entry also goes great lengths to explain that it's mindhax
"The anti-planetary Noble Phantasm of reborn Kiara. The most heinous of Noble Phantasms, which uses the Earth for masturbation. It's an Authority which lets her gain the greatest of sensations and grow by offering her body to and embracing all life left on Earth - humans, animals, plants."
This part is talking about Banshokuyuutai not her literally embracing all of them.
"The nature of this is similar to a certain man-made demon who had once been made into the object of demonization to prove the evil of humanity and turned into a sacrifice. This vortex of pleasure melts all things with sapience, subliming their lives in a brief instant. It's the birth of an ephemeral but eternal Land of Bliss. This vortex of pleasure works on any sapient being without exception, no matter how different the structure of their intelligence is. This is not a Noble Phantasm limited to the Earth. It has a special effect of doing more damage in certain conditions, the damage increasing if it's used on the opposite sex, and the higher the intelligence the greater the damage. The plan on paper would have been for Archer to take the least damage, while Gilgamesh would receive the greatest damage."
This part "As for why its performance, presentation, and sheer scale are so huge, it's because Kiara is a being close to Saver."
Doesn't contradict anything about it being mindhax, as scale refers to what is affected. In this case the scale is indeed huge as she's affecting an entire planet with her Authority. The performance/damage is also huge as it's the pleasure of an entire planet as an attack. It's visually protrayed like that to show what she's affecting, it's not literal.
Scale referring to what is affected has a clear example in Buddha.
"A Bodhisattva is a god of universe scale and power, and can easily manage things on the scale of the Solar System. Buddhism has a sense of scale of the universe that stands out from that of other religions. There are concepts like Nayuta (1060) and "The Infinitely Vast Number" (1068) which were created to represent the scale and size of a Buddha. The entire universe is the domain of a Buddha. A galaxy in Buddhism is sanzensekai, then 1000 of those make up a sanzendaisekai (galaxy cluster), then 1000 of these make up a sanzendaisensekai (super clusters). This actually aligns with the real scale of galaxies, galaxy clusters, and super clusters."
According to your interpretation Buddha would be "universe sized". However he isn't as we clearly see in Last Encore when he's still able to prune all parallel timelines (the timeline tree) with his minor np while he's a normal servant.
Another example of Bodhisattvas' scale referring to what they affect is Suzuka's third Np (the sword of a Bodhisattva) which allows her to recreate and view all parallel worlds (the timeline tree). So unless her Sword has the same scale as the tree of time this isn't working according to your interpretation.