If you eat meat, then I don't understand the difference between dead animals. If cow, why not reindeer? If tuna, why not sharks fin? If prawns, why not insects? If sheep, why not dog? If pig, why not human?
Depending on the rarity of the shark, then there would be no problem with shark fin, if it weren't for the fact that the rest of the shark is often chucked back into the sea used. Waste not, want not. Otherwise I agree, if you like it, and it's edible, why not? (Bearing in mind that some parts of some animals are bad for us - carnivore liver for example is far too rich in Vitamin A and will make you ill, or in the case of polar bears (carnivores who eat carnivores, thus concentrating the vitamin) kill you).
A chinese student in our Archeaology department was studying an assemblage of animal bones from a Taiwainese site, among which were those of the civet. I asked why a civet would be there (not being familiar with the area and it's animal/human relationships) and she told me it would have been eaten. Oh, I asked, what does it taste like?
She thought for a moment and then said "Like dog". My face must have showed that this didn't help, and she said "Ah, you never eat dog....".... We eventually worked out that it was a very gamey sort of flavour.