The S1R screen has this behaviour as do other cameras with a tilt screen (A7R3,A9).You are hopefully right about the power consumption. As for the flippy screen, I've loved it since my first digital camera, the 2004 Canon A95, via the GH series to my current GX8 bodies. The biggest advantage: it's on when it's folded out, and automatically switched to EVF when folded in, at least on Panasonic cameras. Never any doubt about what is switched on, and never any button to bush or sensors to trust. There are other advantages too, which may or may not suit each photographer, but that one is why I'll probably never switch to another type of screen.
Gordon