I don't know if this is right, but I use "filmic" to refer to "the John Hable curve".
Why is the Reinhard Tone Mapping operator considered "non-filmic" anyway?
If someone said "a filmic curve", I would think of an S-curve, but if someone said "the filmic curve", I would assume they were quoting Hable (though he called his curve "Uncharted2Tonemap", not "the filmic curve", I've still seen enough people call refer to his "Filmic Tonemapping Operators" blog post calling it the filmic curve. Also note that Reinhard is listed in that blog post).
When I was explaining hable and reinhard to our artists, I described the former as Uncharted's curve to make it look like a film, and the latter as a curve from an academic trying to make digital HDR photos look like traditional photographs.
p.s. I just had a muck around with your modified Reinhard in a graphing calculator - it looks pretty useful. I might have to try it out on some test scenes tomorrow