I used to eat pigeons in the summer as a child. A Spanish aunty who had previously been a cook for a local Count would cook the game brought back by my uncle. Pigeons were often on the menu. They were delicious. I particularly used to enjoy the hearts.
Even if I still ate meat, I don't think I could eat pigeons that had scavenged off of city streets. I still feel ill remembering the pigeons I've seen eating curry and lager vomit.