In my understanding feral is a domesticated creature that has found it self adapting back to the wild, while a wild creature was never domesticated at all. How can pigeons be feral?
There are over 300 pigeon/dove species, and nearly all of these are wild and have never been domesticated.
However, when people say "pigeon" without specifying a particular species, they are almost always referring to feral rock doves (Columba livia domestica) commonly found in urban environments all over the world.
Multiple types of Pigeons(/doves) have been domesticated through history. The pigeons most people are familiar with in big cities are feral domesticated rock doves.
