Would a coelocanth and a human still have more sequences in common than a coelocanth and a grouper? Would the coelocanth and human dna basically "look" more similar than either would to a ray-finned fish based on sequences?
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.