Okay so Im posting this early so it doesnt get lost in the SEA OF DEBATING!
Kyoka Suigetsu in Bleach works by manipulating the characters sensory nervous systems, and since even powerful characters like Yhwach and Unohana have no actual resistance to sensory/illusion manipulation, only that they can "sense" it but not really stop it from happening.
"While the illusions Kyōka Suigetsu creates are quite powerful, those with considerable power and skill themselves may be able to note slight differences in the illusions compared to the real thing, even if they are not able to determine what exactly is different."
"4th Division Captain Retsu Unohana detected something was amiss with Aizen's fake corpse, even though she did not realize what it was until seeing Aizen alive.The Reiatsu of Kyōka Suigetsu gives it away to those keen enough to sense its actual presence past the illusions created by its complete hypnosis.The sole way to escape the ability of Kyōka Suigetsu is to touch the blade itself before complete hypnosis is activated."
Pre-Time Skip Unohana was powerful enough to notice and detect slightly and she is tier 7-B, compared to Mega Gardevoir who is High 7-A beyond even Post-Time Skip Unohana.
However it is shown that KS DOES NOT work on those who are blind like Tosen. Most blindess is caused by a number of things but given it does not effect blind people means KS likely must require the images the eyes receive to be transmitted via the optic nerve to the brain to take effect.
Given that Gardevoir is a psychic-type Pokemon, and is naturally resistant to attacks that affect the brain, it would make sense that it would resist KS.
As FateAlbane in the previous thread argued against, there was no proof of gardevoir resisting something on the level of KS, but here's the problem, outside of what it CAN do, since no one in the series iirc has any actual resistance to it AT ALL, for all we know someone WITH actual resistance to such an ability could easily resist it, we have nothing to compare Gardevoir to on the Bleach side. And really KS is manipulation of ultimately the brain since that is what dictates your senses. As I said before up above Gardevoir is a psychic Pokemon is adept in techniques involving the brain and thus is naturally resistant to attacks that affect it.
From this with its precog, it could via its natural high intelligence, teleport instantly and grab Aizen's sword seeing it as the source of the problem, and in grabbing it to take it away would touch it before the hypnosis is complete, thus this would allow Gardevoir to escape the effects of KS.
"The sole way to escape the ability of Kyōka Suigetsu is to touch the blade itself before complete hypnosis is activated."