Hello,
you should be able to view the bin content from Item card irrespective whether the user experience is essential / premium. And you are right, the link for the same is Item > Related > Warehouse > Bin Content

In your case, most probably, user's personalization is changed and "Bin Content" is hidden either by user himself or by the administrator. Why don't you ask user to check his personalization of the Item card and make it visible?
If the above does not work, then -
1. Note user's profile / Role
2. Open Profiles (Role)

3. Go to the his specific profile card

4. Check if there is any specific Page customizations are there or not. You may need to clear them
