There are 3 species which are commonly called "Rummy Nose Tetras". The original, and probably the least colourful of the 3 is Hemigrammus rhodostomus. This is the one you see most often as it is from nearer the mouth of the Amazon where the water conditions vary a bit more - it is therefore the most robust of the 3.
The other 2 are Hemigrammus bleheri and Petitella georgiae. Both are from blackwater environs of the Rio Negro and it's tributaries North West of Manaus. These are more colourful, but more demanding as to water conditions, (like many blackwater fish). These two both go under the common name of "False Rummy Nose Tetra", but frequently the oiks in the LFS just call whatever they get "Rummy Noses".
They look alike, but the blackwater species have a much clearer pattern in the caudal fin, the stripes can be almost absent in H. rhosostomus. Also the size of the red patch on the head varies with the species, again H. rhodostomus usually has the smallest red hood, H. bleheri the largest.
Thus it depends which species you have, but it is certainly true that on balance, they are a fairly delicate group of fish. The blackwater species, particulaly so, they also prefer higher water temperatures.