Well, some glow still escapes, if there is any. I have never found any advantage to covering the tube entirely---the 1/2" slice of heater hose usually provides all the damping of the envelope that you're going to get about halfway down the bottle.
I haven't thought about a way to dress this up, and it truly isn't all that pretty. I guess that's one of the reasons that commercial tube-dampers are spendy; they tend to look quite a bit better!