The custom post type capabilities work by mapping WordPress default capabilities into the custom post capabilities list. These default capabilities are predefined and sorting is not one of them. That’s why you don’t see a specific capability for the ordering. That is a custom functionality of that plugin. It is impossible to map custom capabilities created by plugins to its custom functionalities automatically.
I’m not sure why the author of that plugin would use switch_themes for this functionality. You can enable that capability and remove the admin menus enabled using menu editor. But still it won’t be able to remove all the functionalities enabled because of that capability.
Your best option is to contact the author of that plugin and ask him/her for the capabilities he/she is looking for and ask him if he/she can create a custom capability for it.
Sorry for the delayed response. For some reason I did not get a notification when this topic was created.
Let me know if you have any questions.