I'm pretty sure Kaine won't die. As stated above he has died 3 times now and he has always come back. I'm pretty sure Kaine will survive given he is present in scarlet spiders and much more media than his own book. And even if he does he will be back within a few years because he is the spiderman that you can do dark stories with and not Peter become "the spider" again.
Kill any spider though? Skull version of spiderman from an alternate secret invaison.