No one knows the future, but my (half serious) prediction is that governments will step in, public access to high end models will have an 'IQ governor' and/or throttling applied, the most advanced models will be put behind closed doors, and the biggest AI companies won't be allowed to fail.
Those who are in charge will try like mad to keep things exactly the way they are, with only slow and incremental changes which they can reap maximum rewards from. Same as it ever was, right?
We could develop ASI, and it could give us the blueprint for a peaceful paradise on Earth for every human, and in my current opinion, the leaders of the world would lock it away and never let it see the light of day. Perhaps they'd even destroy it. [Sorry, I'm a bit jaded this morning.]
Have you seen the financials of the AI companies?