Screen protection films may/will change the ant-reflective properties of the screen. Keep fingers off screen glass unless it's designed to be a touch screen. Trouble is that almost everyone now has at least one touch screen device so they want to stick their greasy fingers on all screens.
I spent years working in advanced flight deck development labs. My observation was that there are two types of people in this world - those that clean screen glass and those that finger screen glass. They are seldom the same people.