I don't mind the idea of live pigeon competition shoots,sounds bloody hard n expensive.
About eating Pigeons....
back in England as a lad I'd find a few wood Pigeons nests, wait nearby & kill both nesting birds if I could , then I'd climb up , get the eggs n eat em soft boiled for tea
My Mum would make lovely home crust pies with the birds, ....lovely grub mates!
franc