Also, frankly, I don't think a chat interface is good UX. People are having fun with it right now because it's novel. But human-human interaction doesn't use natural language because it's somehow ideal; we rely on it due to hardware limitations. We don't have the same set of limitations in human-computer interaction. And we also have a lot of history (as in, literally all of history) demonstrating that, even when talking to each other, humans quickly start straying away from pure natural language interaction whenever their communication is modulated by a technology that allows for additional options.

You can even see some of this play out a bit over the course of the web's nearly 30 year history. 20 years ago, informational websites tended to be brief, highly structured, and minimally chatty. Nowadays, people produce walls of text that you have to dig through to find the actual content. Why the change? Search engine optimization. Which I'd argue is an example of essentially the same folks who give us AI basically dragging us back to a world where natural language dominates. Not because it's actually better for anyone, but because it's what they can more easily build a one-size-fits-all algorithm around.