I’m not a vegan, but I think this take is way off. If you purposely exploit an animal for food, especially in unfavourable conditions, like putting chickens in cages and harvesting their eggs, farming animals for meat, that’s not vegan.

If you are out in the woods and eat the fruit of a tree that an animal died under and fertilised, that’s fine. It probably also doesn’t extend to animals that were dead long enough to turn into oil.