Photoshop: remember full screen mode when opening new documents

Open an image Photoshop and set view to Full Screen or Full Screen with Menu Bar to do your work, close this image. Open another image, Photoshop does not remember the Screen Mode you were in with the last image. Does sound minor, but if you are working all day long on many files it is very inconvenient. This is the only screen mode you want to use and would always be having to set this mode every time.

Please fix this so Photoshop remembers the last Screen Mode you have chosen.