Just got done and it was much easier than anticipated. We used scrap strips of wood to staple the netting to the fence, overlapped the netting, and secured together with zip ties. Took roughly 2 hours for a 16X24 run and just went up and over the coop.
I don't think there's much to worry about with snow, the net is so thin, I don't think it would stick unless it was a heavy packing snow coming down fast but we'll see in a few months..
I would've rather used the welded wire but with a 16X24 run it would've been too expensive; I only spent $15 on the netting. Even if I have to redo it every year or two it'd take forever to add up to all the wood needed to support the welded wire. I'm just hoping we don't catch a lot of birds in it because then we'll have to use something else.