well given the link i posted, its pretty easy to see the first site is incorrect.
i'd say discredited, all rechargeable batteries have limited run times, intitially there was nothing you could do, then there was, thats fairly normal, replacement batteries often come a while after release, and anything thats faulty gets replaced during its life cycle.
$49 isn't all that bad for such a battery, those things aren't cheap, i just paid $349 for a battery. If you go to Apple to buy it or get it replaced, expect to be gouged, but you knew that buying an iPod in the first place
Even when that video was first made there were alternate options, since its gotten so easy to protest these days, checking out the facts isn't quite as popular anymore.
Also its very easy to shorten the life of a LiON battery by misuse, this is one of the reason the warranties are so strict with them