When a user attempts to add a statement on the file page via the Statement Panel, the standard behavior is for an auto-complete dropdown element to appear as they start typing. Here's an example:
However, users viewing the file page in the mobile skin (perhaps they have set this theme as default in their preferences) currently do not get this drop-down element. This means they will have no way to add statements through the standard UI. This issue is present even if they are using a large screen. Example: