Backup and Permissions for 2nd company

Noob here so excuse the obvious lack of knowledge. I have a subsidiary of my organization set up and their access is governed by a group which disables the ability for them to see our inventory, but I can see all of theirs. They are breaking up with us and therefore wanting to stand up their own version of SnipeIT. They are asking me to provide them with a backup so they can import it into their system to avoid a lengthy setup. My question is this; Since the backup is all or nothing, I can't backup just their items, would they be able to see our inventory when they import the backup into their new system, or would current permissions still prevail?