> It's not obvious to me how any further work could fix it.

In "gimme" you could have a rule that when any character is next to itself both occurrences must have the same width. Wouldn't that fix the "gimme" example?

What about distributing the space amount more that one letter, and ensuring no two of the same letter are ever different. You'd allow things to get out of sync and not be on a perfect grid, so long as you could align everything at key points where a line has the same character on two successive lines, or some other case where you know you need alignment.

Everything else would just look like a proportional font.

Maybe it would influence coders too much and subconsciously make them choose names that line up well though...