The snare is better for two reasons: If you're on a reef or ledge, like you will be if you're in West Palm Beach or Jupiter, the holes and uneven bottom make it easy for the bug to escape under the edge of the net. I've lost many bugs this way. With a snare, you can take them on any horizontal or vertical surface if they're out of their hole.
The other reason is that a snare does less damage to the bug than a net. It's common to catch a bug and find him a little short when you measure him, or find eggs on a female. A snare dosen't damage the legs, and you can release him intact. With a net, the legs and antenna get caught in the mesh and often break off, reducing his survivability when you release him.
The best reason is that with practice, the snare is much easier and more effective. Get the green snare, the one that locks in the closed position.
DMdoogie