Great idea, and nice explanation of the execution, too. I think I'd have to use a finer mesh than bird netting though.
Problem I had with bird netting is snakes. Our native (non-venomous) black racers have small heads and fatter bodies, and they were immensely attracted to the bird netting when I put it over my lychee tree one summer. They'd put their heads through a hole then get stuck when the hole was not big enough for the body. In 2 days I found two dead snakes and one I was able to save (but boy! was he mad!). I like having the snakes around as they keep the rodent population including the infernal squirrels under control.
Probably you don't have many snakes, since you have lots of cats in the neighborhood, but do keep your eye out for this problem? It's possible that a double layer of netting with the holes not aligned might keep them from pushing their heads through. I just had to give up on using the bird netting altogether. Even when I had rolled it up and put it away, another snake found it, but again he was easy to disentangle. Must be the smell of it or something .... ?