To be clear, this does not run software in the browser; it runs software in the cloud and displays it in the browser. Given the possibility of actually running apps in the browser I think this distinction matters.
I clicked the link to figure out how they solved the numerous technical problems of running native applications in a browser. It's a deceptive claim, and the web page is content-free, all marketing. I don't think it belongs on HN, at least not with that headline.
Techies like me will be puzzled by the incredible claim they're making without any explanation. In truth, I wouldn't have given it any credibility if it hadn't been on the front page of HN.
Non-techie users will definitely make the distinction of "does it work on slow internet connections, or without a connection at all?" Even if they don't know what causes the distinction.