Thanks for sharing your experience in this forum, @ireneybeenie.

Your user should be able to have access to inventory reports after setting him with full access.

Since it's showing differently, we can troubleshoot your data file. It could be that your company file encountered data issue.

Before doing so, I'd recommend updating QuickBooks Desktop to the latest release. 

Here's how: 

1. Go to Help and click Update QuickBooks Desktop.
2. Click the Update Now tab.
3. Check the Reset Update box and click Get Updates.
4. Wait for the update to complete.
5. Close and reopen your company file. 

Then, run the Verify and Rebuild Data Utility process to help us identify and resolve any data issues within a company file.

I've also got you an article for your reference: Users/Roles in QuickBooks Enterprise Solutions. It contains user types and its roles in QuickBooks.

I'm always here to listen and help you again if you have other concerns about managing user roles. Take Care!