If coelocanths are more related to humans than groupers -does a Coelocanth's DNA literally have more sequences in common with a human than a grouper?
Yes, in virtually every way. In terms of pairwise distances, measured in percentages, humans and coelacanth are closer to one-another than coelacanth would be to any ray-finned fish. In terms of individual genes, there would be genes that humans and coelacanth share with their common ancestor, but are not found in any ray-finned fish. Remember, humans are bipedal terrestrial fish.