Dead wrong, and indeed that is the difference to crypto.
If you own all Bitcoins in the world, it is worth nothing and your net worth is zero. If you own all stocks in the world, you can direct all of those public companies to pay a large chunk of their profit to you every month in dividends, and make those companies do whatever you want them to do (research a way to build a Mars colony, or build better fusion reactors or pay off politicians to do your bidding), which is real power and real wealth.
For example, if Elon Musk owned all of Tesla he would have access to $3.7B of its annual free cash-flow or $3.3B of net income. He won't be able to afford to buy Twitter with that. But because he has Tesla stocks which gets a huge multiple on those metrics, he can pledge a fraction of his fraction of ownership in Tesla to get a huge loan with which he is able to buy Twitter (and still enjoy his ownership rights of Tesla stocks!). That's because of stock market.
Also, in the limit, if you owned all the stock in the world, you have destroyed the stock market.
Because ultimately, stock market is about speculating the future potential of the business and pricing it into today's stock price and more importantly having someone believe that and be available to buy from you at that price. So, it is a sophisticated collective story-telling-belief-system based on imperfect and asymmetric information using fancy mind-bending jargons. By having some regulatory safeguards, it is lent an air of legitimacy but really only the crudest of scamsters are stopped.