Story idea: This will probably result in the "corpweb" not being archived and thus will be forgotten in the next centuries (given we'll not hit a filter), while the "greynet" will survive the ages and only the vague echoes of the "corpweb" will be preserved through it. Digital archaeologists will struggle to uncover the "secrets" of the lost wisdom hidden in the "corpweb".
Probably already written by someone, but it fits, I guess.