I ran into this YEARS ago and posted it on the AmericanDJ forum, because, well, at the time, that's all I had was ADJ gear, not that I'm complaining.
I had a strobe plujgged into a dimmer pack, and yes, at dimmer value of zero, there was trace voltage coming out, and it was causing this inexpensive ADJ to discharge, but a a rate of less than 10-15 minutes(try 5-7 minutes, if even that long, felt more like 3-5 minutes).
The nightlight solution worked fantastic, and I also came up with this solution on my own for the same reason, but I kept having idiots stealing my nightlight, and my clients apparently didn't give a crap about strobes, so the project died. I've since gotten better lights that do have strobe functionality, so I'm covered anyways.
Even though I'm moved past stuff, I think having a few of these LED Dummies might be a good tool to have available.
What I don't get is why aren't people using LED fixtures with DMX functionality? I'm not trying to discount the LED Dummy's purpose, but it seems for a little bit more money, the consumer could get a lot better fixture and then not even need an LED Dummy. I get the impression that something somewhere is being used in the wrong way and hence, someone's going to have a big repair bill soon if they don't change how they do things.