The "owners of AI" will be anyone will a cellphone.
There is some kind of slider here how AI will look like when it transforms the industry, based on how available AI is to many people. One one side of the slider, AI will be some secretive technology, controlled by very few people, who get very rich in the process of applying it to the economy, sucking up large parts of it. On the other side, AI will be available to everyone, allowing everyone to use it.
I don't think there is much of a difference between these models, only in how much money the AI companies will make, and how rich their owners will get until the human involvement as actively contributing part in the economy is irrelevant and only AIs run the economy.
Also, if fewer companies have access to AI, they might be required to ask other companies for help to integrate AI, and the owners of those other companies might get off richer than if AI were available to the masses and the masses simply made open source versions of everything.
But in the end it doesn't matter, as with AI human labor only gets out of the equation, but it doesn't mean everything becomes free. One thing still remains: access to resources. Unless you leave earth, its still limited (if you leave earth, its virtually unlimited). Right now there is plenty of resources available, but once everything becomes cheap as hell, resources will become scare and prices will rise.
So the only people who will not completely lose what they have will be resource owners. With resources I mean things that are solid, like real estate, or mining companies, etc. Maybe even data, who knows, but data might be very cheap once there is plenty of it (and more and more is being mined).
Maybe you have some field where you agree the AI to set up a solar farm, or a group of owners has ownership of a valley, and allow the AI economy to build a dam for power storage. Or maybe your field gets used for human food production after all, but don't think there are any jobs in it, only the owners will get any money from it. Of course, some resources may lose value because demand for it shrinks due to some effect.