Sorry, I'm sure there are other features that you like for this, but just the ones in this thread; long life, always on display, shows the time, sits on a desk, no notifications. That's a clock. Like, a clock clock. Put a clock on your desk.
allows quickly checking time, battery levels and music info by just glancing at the phone and provides a superior alternative to notification led, you actually see which apps sent you notifications specifically.
it makes it easier to find the fingerprint sensor (although there's usually an option to show only the sensor without all the other stuff + it shows automatically when you tap the screen + muscle memory)
Could get that with eInk pretty easily. Refresh times are still pretty awful though. I had a dumb phone years back that had an eInk display and it would easily last a month between charges.
They really have, yes. But, currently, I find them best for notebook/journal replacement tablets. I agree that, based upon the the mechanism used (physically moving pigment capsules in fluid), it's very unlikely to be useful for gaming. Physical displays can only refresh so quickly.