Are there any file types that won't display under the Documents section?
No. Since the Documents section displays files from your Google Drive, and Google Drive allows any type of file, including executables (.exe or .vbs) and compressed files, it should appear.
Just make sure that you've turned on 3rd party drive apps for your domain otherwise, this section will appear blank.
Office 365 account? Learn more here.
G Suite account? Learn more here.