I mean, if they were actually "clean" and had a healthy diet compared to what they eat in urban areas, they could make an awesome protein source for the budget minded.
Though, you wouldn't want to eat one you "recovered" from an urban area that's had an unknown diet, due to all the toxins it may have accumulated in its body.
The alien invaders killing and consuming millions of humans in movies should be shown 5 years later or something. Trying to recover from all the shit they ate.
Or even their crop (see below). Pigeons are known to ingest what they think are stones which stay in their crop and act as a grit which will grind down whatever is eaten.
Edit: lemmy can't handle hyperlinks with parentheses
You theoretically could, but small birds like that have very little meat on their bones. Most hunt duck or turkey for a reason, the bigger birds have more meat.
Most people I know who hunt pigeons just take the breasts ("breasting pigeon") and bin the rest as it is not worth a hassle. Unlike turkey, you obviously need more than one pigeon for a meal unless you use it as a starter.