You've ignored the broader point about distribution. The Fed show that the top 1% own about half of corporate equities and mutual fund shares. So saying that shares are held by “billions of ordinary people” is quite wildly misleading.
My point wasn’t that ordinary workers own no shares through pensions or retirement accounts. But it is a limited and very unequally distributed channel for returning productivity gains to labor. It doesn’t make “shareholder profits” equivalent to “workers’ pensions.”
The key is that the wealth generated by workers makes its way into private pockets at many stages along the chain. Much of it never even makes its way to shareholders, neither through stock value increases nor dividends.