Facebook famously moved away from HTML5 for mobile applications, the author is talking about a time some years ago when his company began to look for other technology.
I think the important thing here is that "HTML5" as a solution would mean wrapping it in a Phonegap/Cordova application for mobile. Haxe means HTML5 and/or Flash on the web, but also native for mobile.
It's a Bejeweled clone that has been published in the Amazon Appstore, Google Play, BlackBerry App World, the webOS App Catalog and also compiles for iOS, Flash, Windows, Mac, Linux and HTML5
The "deploy everywhere" saying may feel a bit tired, but before you hate on haXe before having given it a try, NME is a perfect example of what's possible.
I recently wrote a haXe version of "Pirate Pig", a sample game originally written for Enyo in JavaScript. It took me about a day of work to write, and it went straight to webOS, Android, Windows, Linux, Linux 64-bit, Flash, Mac and the iOS simulator.
It would have gone to an actual iOS device, too, but I was too lazy to pull out my iPod Touch.
If you are interested, please feel free to view the game online, in the webOS App Catalog, Android Market or downloadable. All the source code and assets are available, too: