A similar approach could also be taken when fishing, use a reel and rod to catch fish or use a Gill net. Gill nets are much more efficient ways of catching fish, indeed so efficient thats why they are illegal in many places.

Hunting using legal methods are there for a reason. Most inhumane ways of killing wildlife are illegal. The reasoning behind this is that any method of killing and capturing animals which is indescriminate is illegal, so is the long and lingering painful death of the animal, which has happened to come across your snare. The Gill net is indiscriminate and so is the snare. Snaring is a cruel method of hunting if it can be called hunting in its sporting sense at all.

I would suggest taking up Ironravens points. Take note of your local, state or national hunting legislation. Don't fall foul of the law and if the skills you require for long term survival are really required then legal hunting is probably the best way to go. Same with the legal methods of fishing using a rod and reel.
By doing this you will know the behaviour and locations of the animals and fish you are legally hunting in much more detail. This knowledge is much more important that knowing how to tie some wire to a stick pushed into the ground.