The point of a private company is that it is owned and steered by the private owners, while a public company is owned and steered (through the board) by public investors. Now you may say that neither of these models should exist, but if that’s your position then the public should put it to a vote. Capturing and subverting companies through the back door inverts the entire ownership model without democratic input.
I actually do think that we should consider rewriting the model for public companies, at least, but it should be done democratically unless we’re opening the door to ending the current Constitutional order. Which may also be a possibility, but until then, the country still nominally operates under that framework.
Also, Wikipedia is “owned” by a nonprofit foundation governed by bylaws and values aligned with the public interest. This is much better than being fully private.