When a inheritance is cancelled, AEM bascially updates the jcr:mixinTypes with cq:LiveSyncCancelled. Permissions for this cannot be managed OOTB unless you take the edit permissions which will cause users to not able to add any content to the pages as well.
I believe you need to write custom code using the oak API to control permissions for a particular node type
[1] https://jackrabbit.apache.org/oak/docs/security/permission.html