My "Cosmo Type II" mic's out at 0.52 in.; is 0.94 in in height, and weighs 23 grams.
As far as names go, us Trans-Miss bullet collectors certainly know what type of bullet the name implies. It's certainly not a carbine bullet. Personally, I like to call them "Missouri Sharpshooter" bullets as several were found in an 1862 camp of Pindall's MO SS Btn, but I think "Cosmo Type II" is here to stay. Not being a purist, I frankly don't care if this is not the correct name because no one knows the correct name. Same goes for "Tom Green," "Arkansas Hog," "Mississippi," "Sterling Price," etc. When you mention those names, collectors know what you mean.