I haven't used it myself, but Home Assistant can cast to a Google Home Hub, so afaiu, you can set up a whole dashboard of widgets and controls and use it from a stock Home Hub.
Nice! What I really want, though, is a local API! I can use a starlark script to grab entity states from my local Home Assistant super easy... but then I have to cUrl them up to a Tidbyt server somewhere, only to have it sent right back into my house. Seems kinda silly, and will break anytime my internet goes out.
Are you referring to casting a URL to open a browser on the home hub? I tried that in the past but it was kinda janky. It's definitely possible with something like https://demille.github.io/url-cast-receiver/ though