Would be funny, but I doubt it. Simply makes no sense.
I think it makes way more sense than people give it credit for.
Many people say "Kojima just became independent, why would he allow himself to be bought out right away?" It's a valid point. However, I suspect that it's precisely because of his ordeal with Konami that Kojima might be more open to acquisition. The last thing he wants is to spend more of his prime creative years scrabbling together funding for projects and keeping his studio afloat. Particularly when he needs a big budget to make his highly-cinematic games that so weird that they're hard to market effectively and could easily flop, which also happen to be brimming with expensive Hollywood talent. From that point of view, having the financial security from letting Sony pick up the check while he runs wild with his vision must be appealing.
I imagine he also feels some sense of loyalty and gratitude to Sony. Not only have his games primarily been associated with Playstation over the years, but Sony also helped him get back on his feet during his lowest point.
Then there's fact that on a personal level, Kojima has a lot of friends within Sony, moreso than other major publishers. He is best friends with Hulst, he has a great relationship with the people at Guerrilla in general, and he is also good friends with other people in Sony's orbit like Sam Lake. I imagine this counts for something, particularly when the whole theme of his most recent game was the importance of social strands and friendship.
Finally, we return again to his creative vision. Kojima adores cinema and would love to try his hand at directing a movie. Which of the game publishers happens to be a corporation with a major movie studio, as well as a newly-established division dedicated to adapting gaming IPs into film/tv? Yep, Sony! An acquisition could easily include a clause/provision that gives Kojima some sort of movie/tv deal, whether it be for him as an individual or for KojiPro on the whole to push the studio into multimedia territory.
Sony also just funded Death Stranding, which is one of the weirdest games of the decade. I don't think Kojima is particularly concerned about Sony meddling with his creative vision.