From the way you've shown it,
World Wide Sales is at the top of a role hierarchy just above
Inside Sales WW with
BDR at the bottom of the hierarchy as below.
World Wide Sales
Inside Sales WW
From Salesforce Help, Roles and Internal Subordinates means the following:
All roles defined for your organization. This includes all of the users in the specified role plus all of the users in roles below that role, excluding partner portal and Customer Portal roles.
So the answer would be "yes", users with the Role BDR would potentially be able to edit records shared with users in the World Wide Sales Role. The appropriate way to handle this is to only add the specific roles or profiles to a sharing group that you want to extend the permissions on an object. Groups can be added to form larger groups to make it easier to extend permissions for an object.