All Clothes is private by default. You can check by looking for the shape of a lock at the bottom left of the closet image.
For additional closets, the user can choose to make the closet public or not.
1. Select the closet you want to make private.
2. Press the (⋮) button on the top right.
3. Select [Edit closet].
4. In the [Public to other users] menu, select off.
If the closet is private, a lock symbol appears at the bottom left of the image of the additional closet, and if the closet is public, the lock symbol is deleted.