It's definitely PibbleKing's account. On the same day around the same time--6 AM CST on July 23--they posted the exact same message to their private Instagram. Spoilered because even as thumbnails the screencaps are big.
The rug, flooring, and futon in the kitten picture match pictures of PibbleKing's living room, too.
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The kitten news has brought renewed scrutiny to the story behind Pibble rehoming their puppy Peanut back during the end of 2020. Pibble said they needed to rehome her because they couldn't take care of her due to work and mental health conflicts. Friends and acquaintances accuse Pibble of rehoming Peanut because they were mad a 4 month old puppy they weren't bothering to train kept peeing all over the house, destroying furniture, and whining all hours of the day.
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Kittens may require slightly less intensive care than puppies but they still need a lot of attention, training, and socialization. They destroy furniture just like puppies. They have accidents just like puppies. They need to have the house baby proofed so they don't strangle themselves in curtain cords, knock over heavy or breakable objects, chew on electrical cords, climb into high places they can fall from, find ways to escape outside, so on and so forth just like puppies. If Pibble couldn't care for a puppy while in a better mental state than they are currently, there is no way they have the capacity to care for a kitten now.