But they are now, they exist currently. The fuck are you talking about. If we became an ancap society they wouldn't magically disapear. What, you think that any ancap would ask for these companies to disolve before they're society started? To go back to square one? Nah, that's not what the guy pictured or any popular ancap has suggested. That's not randian, that's some fantasy. Rands suggested solution necesitates the lalrger corporations gaining control. To be allowed to freely operate. Name me one ancap thought leader who suggests a mass reset and that in no world a large corp could form.
Also, even if ancap sociaty started from scratch eventually a company would gain power over an industry. With nothing to stop them, the biggest companies would inevitably grow bigger. That's capitalism, the need to grow is constant and one cannot stagnate. Not neccessarally a bad thing but with no guide rails it logically means monopoly. No, a lack of copyright law wouldn't stop any company from growing to a size where they could kill competition.
When there's a new industry too, they'll be the ones to pioneer it. What, do you think Microsoft came fully formed from bill gates forehead? No, the current companies at the time would have taken gates designs and copies them. They, with their distribution networks, would easily outcompete. What if bill made a better product? Well, no copyright, it's now theirs.