Once I had a rental car (a Nissan) that only had a screen instead of a mirror. It was absolutely useless since the resolution and dynamic range were too low, and as you mentioned, you have to change your focal distance which drastically increases time/friction to check the mirror.

I found myself actually using the incidental reflection on the surface of the screen instead of the actual pixels. I can't believe this arrangement is legal.

Should have just taped a mirror over it. What a ridiculous use of technology!