People get hung up thinking I'm advocating adopting HTML for their public data API. I'm not. I'm advocating building your own web application in a restful manner against a separate set of HTTP end points and letting your data API satisfy the needs of your integration partners.
I've had a couple of interesting projects developed much in that manner, where a single API served both a website (browser default Accept is HTML) and mobile requested with JSON Accept. A simple middleware layer that varies the response (which is just some plain old xxx object) and returns the preferred media.
I'm not sure that I agree that with your analysis of JSON. Semantically you're correct about it not being hypertext, but I don't think that precludes it as an effective media for a REST/HATEOS application.
Read the blog linked above and the other articles linked from it, I explain the HATEOAS problem in more detail. JSON APIs are moving away from REST and towards a more RPC-style model, e.g. GraphQL. The industry is finally getting sick of shoe-horning JSON into a conceptual model that makes no sense for it.
Anyway, intercooler is a different, simpler way to build web apps. If you are willing to split your data API out from your web app API, you can save a lot of complexity in your stack. We built a reasonably modern web app with it with no front end engineers, just a couple of gronky full stack guys with some rails experience, and not much more code than a normal rails app would require. We built our data API using Grape, rather than rails. Turned out very clean, decoupling the two.
Yes, I am aware that I am telling you almost exactly the opposite of what almost everyone else does and that I appear insane.