If it is a problem, I would add two feet of something similar to tennis net, making it an 8 foot barrier, without presenting a horror to the neighbours view.
Or, you could do similar, using that cattle fence type stuff. 8 feet is too high to fly over, no way a chicken is going to launch and fly...
Some pics of my lead hen. Eats straight out of my hand and has learned that I not only know where the best bugs are, but can move stuff like logs, so she can get to them. Eggsellent layer. I’m pretty clueless on breeds, but I think she has at least a fair bit of Plymouth Rock in her.
I wanted two pullets that a local guy had and he insisted he wanted to include two of these in the deal, so I went with it. She is around six months old now in these pics.
This is why I decided to go the open plan route on my setup. A secure run/coop, that is really just a big steel cage with a roof on it and place to roost that is sheltered from direct wind for stormy nights.
Just out of unrelated curiosity, what has winter been like that side, this year? I ask, because ours has been wildly warm. July to September are usually our coldest months and we have had temps as high as 31 degrees.