That's not how I saw interpreted that scene at all. All those comments to me seemed like a description of how they became 3rd Gen Dragon Slayers.
The implication being that, in order to obtain the Dragon Lacrima they implanted in their bodies, they had to kill their dragons.
If that was the case, then the ones inside 2nd Gen Dragon Slayers would run out after they used all the energy that was stored in the lacrima. And that certainly doesn't seem to be the case with Laxus. The Dragon Lacrima being the very life essence of a dragon explains why they don't ever seem to deplete.