If your wrapping the entire yard, then 100% do a privacy fence. About 17yrs ago we did a wood privacy fence only on 1 side of the yard as the kid next door used to throw shit at our rottie. Me, my dad and a buddy installed that fence and it lasted longer than I thought considering we drank the whole time we installed it.. We didnt wrap the back side or other side for similar reasons. We got along with those neighbors. 3-4 years ago I hired a company to wrap the whole yard in a vinyl privacy fence. What a fucking difference, night and day and its like we now have our own little resort if that makes sense.
My brother did the same and love having the entire yard be private. I just dont want my dog to never get to play with the neighbors.
Plus the price I got just for the back fence about gave me a heart attack, I imagine the entire yard will be crazy.