Like Music, Video apps on Windows Phone 8.1, the Games hub app has also separated from OS and is now store-updatable app. This makes all these apps easy to gain in performance and new features via updates. WP8.1 Video app got one update, WP8.1 Music app will get its first update on 22nd April and Xbox Games Hub update is live now.
Yes, if you check for an update by firing the store and following the path Store—-> Settings—–> Check for updates, you will see update available for “Games” app. The latest version comes without changelog, so we assume it to be a performance improvement + Bug fixes kind of update. Do let us know if you see any changes.