Whether chickenwire will stand the load depends pretty totally on how it is braced.
If you have a large unsupported span, absolutely it will collapse I guarantee you without doubt, long BEFORE you get six feet of snow on it. (at least once per winter, possibly often, you WILL get a wet snow that does not sift between the wire meshes but instead accumulates on top and blocks them up and eventually it's as if it were a solid roof, from a snow-catching perspective)
If you have 'rafters' every 2-3', it will hold a lot more snow before it collapses, but with enough wet snow it
is likely to collapse (stretch the wire out very massively and/or rip it off its staples and/or break the wires altogether).
If (theoretical extreme, here) you have 'rafters' every 2", you are probably good. Of course that is not a realistic design
Whether roof tin collapses under the load (your concern) depends, again, entirely on how it is braced. But it will take less bracing to keep your tin up than to keep your chickenwire up, because the tin is stronger. The more slope you have to the roof, the less bracing you need (up to a point -- if you really get 4-6' snow storms, you are going to need a really well built structure no matter how you slice it).
You can find (if you look around) technical specs for how to build your rafters/beams/posts for a given snow load requirement. This would be wise to know even for chickenwire, since chickenwire can clog with snow and become a solid surface.
Good luck, have fun,
Pat