I have a school of Rummy's in my 29g. My lights are on timers. When I get up in the morning before tank lights come on, the Rummy's are all hovering *sleeping* near the bottom of the tank and have lost most of their red nose coloring. However once they wake up and form their school for the day the red coloring comes back fast! This is normal behavior for this tetra.
You did have a good question about stress. Yes Rummy's will lose their color if they are stressed, but you will notice it during the day when they would normally be very vibrant. Poor water conditions, improper nutrition, over crowding are things that would cause this.
The older your Rummy's get the more Red their noses will be and the further down their body the red will reach. If you're interested in enhancing your Rummy's color, try feeding a color enhancing food. I recommend Omega One brand, it's all natural and my fish love it. It's mostly protein so it would probably be a bad idea to only feed that food. It could be mixed in with your regular flake food, or fed 1-2 times a week as a treat
p.s. Rummy's like to be in groups of 6 or more