After reading the Kirin page I'm sure this counts as an accidental stomp. Realitivistic speed + Absolute Zero is actually impossible for pikachu to counter, because Pikachu has no calculated speed feats. The tier difference between town and city offense also means that any of Kirin's ice attacks have power likely beyond anything Pikachu can protect against, and with realitivistic speed, Pika wouldn't be able to protect anyway.
If regular Kirin has none of the ice, than it's either a physical speedblitz for Kirin because Pikachu's defenses aren't the best or a stalemate because even though Pika can constantly absorb lightning and power itself up, it's far too slow to hit Kirin.
The Kirin incarnation with Absolute Zero and Freeze Shatter stomps Pika almost like Goku stomps the HST tbh.
If speed is equalized than Pikachu wins against no-ice Kirin if there is one because of the power boosts from LightningRod allowing it to use other attacks much more effectively.. Ice Kirin wins unless Pika hammers it to death with LightningRod boosted attacks. Can't say if LightningRod Boosted attacks can be counted because of Game Mechanics, but i doubt a move with ingame power of 60 is going to have the same AP as a move with an in game power of 110 that's boosted to 165 with Pikachu's natural affinity. And since Kirin can take large explosions and Pikachu has no decent enough non-game feats using Lightning Rod boosted attacks that aren't electrical as far as I know, so Kirin could tank almost anything and use Absolute Zero quick enough to instakill Pika.
TL;DR Kirin Stomp or stalemate with no ice because of speed, huge stomp with Ice+speed, Pikachu beats no ice Kirin is speed is equalized and equalized speed against Ice Kirin requires Pika to hammer Kirin before it can use Ice, something that, with Kirin's page saying it survives multiple large explosions, isn't happening.
Also, on the Kirin page, it mentioned 3 different Kirin, but there are no paramaters letting us know which incarnation can do what or what attacks/feats are exclusive to which version, like regular Kirin compared to Oroshi Kirin, so all of this was me guessing that the ice feats and abilities were exclusive to Oroshi, which is why i mentioned a 'no ice' Kirin