The first part, buying a little slice of the company, requires Apple's participation. The speculation part, however, doesn't. I could write a webapp that simulates the stock market, declare that it contains X "shares" of Apple at Y price, and people could speculate on them, much as they do in the real stock market, all without Apple knowing or caring.
That is, of course, exactly what Bitclout is: it replicates the "bet this company will do well" part of the stock market, without the "own a little slice of this company" part. But for people, rather than companies.
I draw this analogy in order to try to answer the question: is Bitclout really stupid? And it seems like the counter-intuitive answer is, maybe not totally. These days it seems like investors don't really care about the ownership conferred by stock. I mean, they do for a small startup or LLC, but for blue chip stocks with no dividend, the "ownership" part is kind of vestigial; they're just vehicles for speculation.
So what would happen if you made your own "stock market" app, where people could speculate on "shares" of stock that don't include any actual ownership? Would it work? It seems like it might. There are certainly problems: for one, there's no moat - nothing stops 100 developers from making 100 more such speculation sites. For another, they wouldn't be rational; my Apple "stock" might go up when the real AAPL stock goes down, for one reason or another. But the real stock market seems kind of irrational at times too.
Not sure where I'm going with this; Bitclout still seems stupid to me, but less so than when I started typing this...