Problem with the 2C lites is that they are too difficult to carry, at least discreetly. If you can carry on your belt, it's fine, but not an option for mostly everyone, including I. So if you want to carry, a AA cell lite is a much better choice, probably 2AA.
Another problem with 2C is that if you don't need to carry, and need an outside lite, 2D is a better choice, over which 2C has no advantages whatsoever. Yeah, it is a bit more compact but it is a moot point outside.
2D is a bit bigger but offers better run time and more power and usually a bigger, better lense.
If one is going camping or into a cave or expects to be without lite for an extended time, D-cells make more sense for their greater MaH capacity.
I think these are some of the reasons why 2C has not been popular, and certainly hasn't been popular in the LED market. You can count the available 2C LEDs on your hand and still have fingers left over. It is a pity too.
Worse, the way the available 2Cs are made leaves a lot to be desired. If you look at the cells, they are fairly compact, but somehow they manage to build huge lights around them. Case in point, MagLite. _Not_ a pocket lite.
Having said all that, I might be interested in a compact, quality 2C with something bright in it and awesome run time. I really don't need one, but they are neat. If it was about the same size as the MiniMag length-wise, outthrew my MiniMag, had better run time and more lumens, I might consider it.
If you think about it, a 2C might be a lot more practical than the 3AA MiniMag. When they came out, I got both 2AA and 3AA. I think 3AA is a better lite in all respects than 2AA, yet I haven't used it more than once because it's so big, while I use 2AA all the time. I thinik 2C should be shorter than 3AA.
I also wonder about a headlight with 2C cells in it. That might be an interesting alternative to 3AA/4AA headlights.