The linked article is more about capturing user errors. In other words, capturing events in your analytics when someone enters an incorrect password. I agree, this could be very insightful information.
However, it wouldn't take much to apply the same logic to what the OP is suggesting. Routing all javascript errors to GA. Would take the load off your servers, and already provide a front end for you to browse.
Thanks for the suggestion, I hadn't thought to use GA, and it seems like something I may implement. Hopefully it will garner some useful insights, and if not, no harm done!
http://uxdesign.smashingmagazine.com/2011/10/04/improve-the-...
Seems like a great way to handle error tracking without creating more overhead.