Hi Graham,
I've updated the troubleshooting section in the article Supporting Large File Uploads, to mention that drag and drop and multi file selection is only supported in modern web browsers.
Note also that if most of your users are stuck with legacy XP machines, it is possible to hide the dropzone to avoid confusion but that will mean the drag and drop won't work for anyone. But if you want to do that just add this to the theme.skin file of the skin:
<portal:jQueryFileUpload runat="server"
UseDropZone="false"
/>
I definitely think using Chrome on those machines is a better option though.
Best,
Joe