Something I read recently said that testing showed permethrin doesn't adhere very well to any type of netting. Something about it not being able to soak into the fibers. I don't remember where I saw it though, sorry.
There's likely some truth to that. I sprayed my clothes down with permethrin before my solo BWCAW trip this year. I had a little left over so I sprayed the bug net on my hammock. Figured if the few skeeters that got into the hammock with me just dropped dead I wouldn't have to hunt them down. Now mind you I did spray from the outside of the netting but I thought I soaked it pretty good. Well it didn't seem to have any effect on the skeeters. I didn't get any bites through my clothes though.