As you can see, there are different kinds of staples. Some are better than others. It also makes a difference what you are stapling them into and how you attach them. Those 3/4" poultry staples work well if you put them into thick wood and you get them seated well. If the wood splits or the wood is thin, they can be pulled out. Which staples you use and how you attach them both make a huge difference.
There are a lot of different techniques for attaching hardware cloth. On wooden fence posts or surfaces that are round, I use the 3/4" poultry staples. Where the surface is flat, I use strips of wood about 1/2" to 3/4" thick to cover the edges, drill pilot holes to keep the wood from splitting, and use screws to attach the wood. The screws go through holes in the hardware cloth and into relatively thick wood.
There are a lot of different techniques for attaching hardware cloth. On wooden fence posts or surfaces that are round, I use the 3/4" poultry staples. Where the surface is flat, I use strips of wood about 1/2" to 3/4" thick to cover the edges, drill pilot holes to keep the wood from splitting, and use screws to attach the wood. The screws go through holes in the hardware cloth and into relatively thick wood.