I'd agree. I use black mesh on my large indoor bird aviary too and find it does the best at disappearing visually. But, the denser the mesh (such as screen tight enough to keep feeders from escaping) is going to affect the camera either by messing up the auto focus or blurring or degrading the image of the creature behind it.
Design a cage with a very large door front you can open completely.
If you chose to use glass for one panel of the cage it would still need attention or cleaning before taking photos anyway.