Paul K, where did you get the Japanese version of the National Park special? I also have the bioquip National Park special, but the net they use is as rough as a fishing net, I exchanged it with a Czeck butterfly net and it works really great, much softer and still very sturdy when using it. Where did you buy yours? Do you have a link?
My Japanese friend got it for me from Japan while I stayed in Thailand this year, but I think you could check this one out: kawamo.co.jp/roppon-ashi/e025.html The net is very soft, forget bioquip nets, they are good for fishing as you said, paradox has good fabric for nets but the Japanese is the best.