Li batteries quality is very variable. The worst part is that you cannot tell the good ones from the bad ones from the outside. There was a review for Olympus 3rd party batteries, and he took apart all of them, testing the protection circuit etc. Some of the batteries were so poorly made, protection circuit not functioning etc that it is quite frightening.
And it is hard to make judgement unless someone do a detailed test as above, but this is hard to come by. Most are from word of mouth that "I bought one and it works." But the fact that your camera turned on told you nothing about what would happen if there was a short in camera, in charger or by accident.
At this point, I am sticking with "Named" 3rd party ones, rather than those ebay ones with no brand name or manufacturer's name. I am using B&H's Impact brand; and I have bought from
Battery Barn who sells mostly named 3rd party batteries such as VidPro (Power2000), CTA, etc
They cost slightly more than ebay's no name ones, $15-$20 (but with free shipping over $25 order) instead of ebay's $5-$9. I think that's reasonable. Although this is no guarantee, at least there is a company/manufacturer which would stand behind its product and a warranty and a 800 number.