I don't understand why you don't call yourself a vegetarian when that is the diet you describe? No one ever said vegetarians eat nothing but vegetables. Vegetarians don't eat meat. Some might call themselves Octo lacto vegetarians to indicate they eat eggs and milk, but you haven't said anything that points to you not being a vegetarian, with or without those describers. A person could eat mostly junk food but if they don't eat meat they are a vegetarian.
By the way I asked you about the urchins and cucumbers because they don't have faces
And most of our fish in fish and chips is shark. But no I wouldn't be put off eating something with dangly bits from the ocean floor. No more odd than all the baby octopus I've eaten.