The section where they say that is the same thing as they are explaining with all those pictures. Just go off the pictures explanation if you are lost. What they are trying to say is exactly what the pictures display.
Its poorly worded, but it means you won't get attacked by a claimed mob while still having hate. Example1: tank kiting and someone claims with dia when it goes unclaimed for a second. Example2: I cast banishga2 on a swarm of bunnies. No one can claim one of my bunnies unless they pull hate off the spell I cast, they would just remain unclaimed. Example3: HNM parties tank dies, hnm goes unclaimed while romping through the alliance's mages. Everyone there (in or out of the alliance) could hit the enemy, but no one outside the alliance can get claim unless they manage to pull hate.
The change only affects claiming, not hate or mob actions.