That second point would require intimate knowledge about which animal parts would be disposed of if they didn’t find a buyer.
In reality, everything is used. If there wasn’t a market for part of an animal, a use was found and a market created (which is part of the reason why industrially produced white sugar, beer, wine, apple juice, potato chips and bread usually aren’t vegan).

Anyway, vegans usually don’t care about whether an animal product could be leftover. Their philosophy boils down to “Just fucking leave animals in peace.”