yeah, we have lots of pigeons, but aroudn us is a lot of farmland- so they eat pretty healthy i think- farmers will hire out folks to help cull them in some places- usually with pellet rifles- one year at a local beach, they became so bothersome that the town had a fella with trained peregrine falcons come and thin them out- haven’t seen hide nor hair of the pigeons in town for a few years now
If they get good food like seeds and wild stuff, they should be OK to eat. It’s just the garbage-eating city pigeons I’d stay clear of. Bag a few of those farm pigeons and give them a try. Plenty of dove recipes online, or just fry ‘em up.