I don't think this can be done sustainably. AI can definitely run a company's operations, especially at scale. A fully AI-run company opens itself up to arbitrage of various sorts.
To manage the work effectively, would require that all assigned tasks can be verified and ranked in quality of work. Otherwise some employees could easily do nothing or a lousy job all day, and just enter into the system that all their work has been done successfully. How would the system know who is slacking? Perhaps if we remove all privacy through computer vision, all kinds of sensors, and massive amounts of data entry. But this would still not be comparable to a manager taking a stroll through the employees and talking to people. I really can't see AI running a company at this time. It requires too much input and still won't be able to make reliable decisions.
Things will get interesting when JIRA improves that development experience...
It surely is. Just look at their new pricing tiers: https://news.ycombinator.com/item?id=33244978
However I can see some orthogonal scenario where an "AI" run company - whatever that means in the future - manages a bunch of contracts as a middleman/market maker, thus obviating middle management altogether and making it a world of freelancers.
So it could go that way...