We also have a big problem with pigeons here at the Kitchen Garden and I know how frustrating they can be!
I have used our butterfly netting in the Kitchen Garden and on my allotment at home and have never had a bird caught in it yet. However I can understand why you would find this upsetting. Have you tried combining the netting with a form of bird scarer to keep the birds away? Some of my fellow allotment holders use old CDs strung between two posts, for example. These glitter in the sun and move around in the breeze to scare the birds. I also know some who place a model owl or falcon near their vegetables to keep the birds at bay, in the same way that model herons are placed near ponds.
Our soft butterfly netting is designed to make it easy to drape over hoops or poles. It is also really easy to fold up and store away in the winter when you aren't using it. The heavy duty netting is much more rigid and more useful for the sides of vegetable cages as it holds it's shape much better. Both are excellent at keeping the butterflies out, it simply depends on how you like to use your netting.
I hope this helps you, however please let me know if I can be of any further help.