I think you might find that a saw, particularly a decent small folding saw, will cut the sort of stuff you'd need for a shelter much faster than a small axe or hatchet will. A folded up Sven or Gerber saw in your pack would be a much better choice than any of the wire saws I've seen.
With a lot less chance of injury too.
Welcome to the fold.
JohnE
_________________________
JohnE
"and all the lousy little poets
comin round
tryin' to sound like Charlie Manson"
The Future/Leonard Cohen