Are those openings diamond-shaped, or square?
Your mockers must be a lot more peaceable than ours, down here on the bayou because if I were to grab a baby mocker with the parents around, I'd be dive-bombed and pecked around the head and neck--No joke!
Many years ago, I had a fig tree I covered with a fabric netting. It was limp and like nylon. I saw a flash of red and when I looked more closely, saw that there was a female cardinal with her head caught in one of the openings of the netting. The openings in the netting were not as small as the netting I have now. I ran over to her and picked her up to remove the netting from her head and upper body and she proceded to bite the peawoddy out of me. She clamped down on the webbing between my left thumb and forefinger and didn't let go! I was bare-handed. That's when I realized that she didn't know I was trying to help her and that ended my "Lassie Syndrome" forever after. I put on canvas garden gloves and picked her back up, whereupon she proceded to clamp down in the same place on my hand right through the glove! It still hurt!
I finally got her untangled from the netting and she flew away, feathers in a rumple. Cardinals have those wedge-shaped shell-cracking beaks. She almost bit a divot out of the webbinb of my hand--I was bleeding.
Something I learned when we had an exotics vet working with us--Birds don't have diaphragms like animals do. They breathe with their whole rib cages, so it will kill them if you clamp your hand around their bodies and hold them tightly. They can't breathe. You can clamp your thumb and forefinger around their necks and hold onto them that way. Even if they struggle, they won't break their necks, as their necks are very flexible. A regular washcloth, put over the bird's head and neck, between your hand and the bird's neck will protect you.
This is just general infor for people. Tim, it doesn't seem that you were stifling the breathing of the bird if it was hollering the whole time, it must have been able to breathe all right.
Question--What does this mean? "It allows you to squeeze figs away from the edge without removing it."
That really is a beautiful fig tree.