I have lived through many waves of refugees. The first among them was the Hmong in Minnesota. Yeah they shoot geese, ducks, pigeons, etc with home made devices. They are used to that in their home country. The fact a pet or two might go missing with a large amount of third world refugees isn't surprising to me.
When I lived on Don Det Laos, if Cambodian or Viet Namese workers came through you kept your pets close.