I now use that over the PS4 for streaming video now. Chromecast I found really only useful for casting Youtube videos, which is a really niche use for a dedicated device.
That has nothing to do with the processing power of the Chromecast and everything to do with the casting system. It's all just a video stream to the Chromecast.
Which, admittedly, is also not a Chromecast issue per se, but since the Fire TV stick does support it (for obvious reasons), and since I ought to be watching videos and justifying my Prime membership, it'll probably end up being the more useful product to me. An Intel stick would probably end up being even more useful, since I wouldn't be at the mercy of Amazon to provide support for things (and would instead be at the mercy of XBMC or Kodi or whatever the hell it's called now to provide support for things).
Meanwhile, this Intel stick looks even better. Between this and the announcement of a new NUC with an i7, it looks like I'll be saving up for a couple more Intel-powered Linux devices this year.
But yeah, the Chromecast is still handy sometimes, and it does do some things well (like YouTube and Pandora). It's just not always the best fit for everyone.