What I don't get about this story is that it is clearly an example of Peter Hook being ridiculous.
If he can go around playing New Order or Joy Division songs, and if there's nothing wrong with that as far as the lawyers or the legal agreements that constitute the business and publishing entity that remains New Order, then why can't Bernard Sumner? I don't think there's a fan of New Order who would argue that Sumner couldn't go play songs that he sang on or wrote or recorded.
There's a lot of bad blood in what used to be New Order, but does there really need to be a legacy fight? I don't think so.