User blog comment:FairyRaven/Fairy Tail Chapter 470: Hybrid Theory, Review and Commentary/@comment-124.82.62.133-20160126052221/@comment-4829046-20160126102920

Not really. We don't have much to go on but remember Cobra? His default was Sound magic, but he needed to gain Dragonic features before using Poison abilities. In the case of Laxus, he probably learnt regular Lightning magic from Makarov to cover up his DS magic because there is a clear difference between the two. Ergo, their dragon lacrima had specific elements.

It is very likely that Ivan planted the lacrima that will have the most compatibility with Laxus since their mage bloodline of started with Lightning magic. Before his supposed transplant, he exhibited no magic so it can't really be inferred if A lead to B or vice versa.