It appears for me when I search for it. Even Gemini is cool with looking for it.

Here is a part of the Gemini result I got which was directly above the regular result link.

"Pokémon Central is a major community network and independent Italian encyclopedia for everything Pokémon-related"

Honestly, the title is super clickbait and it doesn't even reflect reality. Its so easy picking some giant entity far away and create some drama about it. Dont get me wrong, I am not a google fan, but I also dislike clickbaits and whiney dramatic claims, moreover if unverified.

Maybe the claims in the Twitter thread weren’t clear enough; I’ve added some clarification especially for you: https://x.com/pokemoncentral/status/2057157781611024764

Do you suspect they have faked the search console screenshots as well? Make your accusation explicit.