I'm not convinced that, in the 14 segment font, we should just give up and accept that lower case "a" and "m" should just be the same as their upper case counterparts:

We can represent a "double storey" a like this:

   ___
      |
   ___|
  |   |
  |___| 

It's also unclear why we couldn't have a 14 seg lower case m like this:

   _ _
  | | |
  | | |

Maybe for each character, have a link to a documented rationale.

EDIT: Oh, look at the example font sheet featured in Wikipedia's Fourteen-segment-display page: it has these letters exactly as I say:

https://en.wikipedia.org/wiki/Fourteen-segment_display#/medi...

All the letters in DSEG14 are in upper-case, regardless if a lower case variant is possible. It appears to be a stylistic choice.

Only DSEG7 has lower case letters, and that's probably only to distinguish them from other characters or numbers (e.g. h/X, i/1, or o/0).

Since you can't communicate case for all characters, trying to communicate it for some characters while failing to differentiate for others would be a bad decision. It's better to accept that the characters do not represent case at all.