In the long run, I think it would, at least somewhat as I think it would certainly lead to more calls for public ownership of infrastructure and some resources, which could go a long way to curb megacorp power.
Don’t have that article ready, but with basic income I think we’re going to also see much more cooperative efforts in those sectors. But you are right that this could simply take the form of more employee-owned corporations. A lot of what the economy might ultimately look like even with universal basic income would come down to how and how much we reshape or do not reshape the regulatory framework, particularly with regard to the finance industry.
I do believe I would be more in favour of and much more ready to nationalize some key industries (particularly those erroneously “privatized” during our era of “ideology free” politics) and resources to help pay for basic income than you would.
On the other hand, I see a small business boom in my own industry (law) moving to much more part-time and small practices, particularly in the legal advice sector if there is no longer a need for jurists and lawyers out of school to sell our souls to the big or even mid-size firms. Speaking for myself it might just make running my own practice as a court-appointed attorney handling perhaps a dozen cases at any time feasible at standard legal aid rates. Which would be the closest I’ll ever get to my own dream of being a small-town attorney (since the courthouses are not going to come back to the small towns, at least in the short to mid-term).
Which is why it would probably take (the serious threat of) another revolution for it to happen. As i said, even Finland is getting cold feet on basic income.