Sadly there is nothing illegal about this practise but it is piece of crass insensitivity that shows how out of touch some people are. The language in the websites is pretty sickening and some of the images and the claim that bags are restricted so that a viable population remains is rubbish. The Turtle Dove probably does not have a viable population anywhere in the World.
Why not have a look and if you feel like me email them with your thoughts. I have done so but received no reply yet.