But if you buy a Bitcoin, you own no productive asset and therefore are entitled to no profits. At one point the theory was you could trade it for something useful, like other currencies. But it's a pretty bad currency, so people mostly have stopped pretending it is useful for that.
There are answers to the rest of your questions, which are complicated and depend on exchange and jurisdiction, but people can look up the details if they want.
I mean, just think about how hard the Enron execs had to work to defraud their investors! They had to come up with a novel scheme to hide losses, collude with their accountants to avoid detection, and some of them even had to spend some time in prison. Yesterday, I read about an NFT scam where the anonymous developer just transferred funds to his personal wallet and then disappeared.
Let us imagine instead that you want to invest in Burger King. You buy some shares in Restaurant Brands International (QSR). When you own those shares, what does that actually mean - how is that connected to the purchase of burgers?
I think share ownership is often a better metaphor for many cryptocurrencies than fiat currency. Especially when considering shares like Tesla, Hertz, or GameStop.
Where does the value of a share come from? Can a company steal all your money? What actually records your share ownership? How are profits calculated, and how do you get them?