It bothers way me more that the same glyph can differ within the same word than it satisfies me that the glyphs are very slightly more proportional. The third "m" in the "minimum" example being narrower than the "m"s adjacent to the two "i"s makes my brain itch. Same for the "i"s in "miniature". Makes me feel like I'm looking through a fish-eye lens, or that my glasses prescription is off.
Interestingly enough, the fact that letterforms change as I type doesn't bother me the way I thought it would -- turns out I'm already kinda used to it from ligatures.
So points for being a clever idea to try out, but unfortunately what it does to a word like "gimme" just makes it a non-starter. Let's face it -- lowercase m's in monospace will always be ugly and cramped, but at least they're consistently so.