Seems like Microsoft has a recent change of heart and plans to issue a fix for the black wallpaper bug for ALL Windows 7 & Server 2008 R2 users, regardless of whether they purchased ESUs or not.

Home / Tutorials / 5 Fixes Windows Displays Black Wallpaper – No More ... This method is particularly useful if the issue is related to a corrupted wallpaper or theme setting. For Windows 10 and 11: ...