I used about a box of those staples yesterday on my run where it connects to the elevated coop, and to secure the fencing all around the bottom of it. Most of my run has T-posts for the posts so I'm using hog-rings and zip-ties for most of those connections. Where I could use the staples, I did and they worked great with one exception.... The siding on my coop is a compressed fiber board / concrete that looks like wood siding, but isn't. The staples aren't holding well enough in that application for me to trust it, so am going to sandwich the fence material between the siding and a 2x4 board that I nail into the coops, studs. If I do it right, the 2x4 will just look like trim that I was planning on putting in anyways. The staples worked great on 4 by 4 posts and anywhere else that solid wood is available. I found a pair of needle-nose pilars really helpful in holding those staples while getting them started.
Mark