If I recall, this strobe is NOT a DMX fixture, so you're hanging this off dimmer/switcher pack. And I know I am right because we've both purchased the Dynamic Light Pak kit.
If you search, I commented about a similar thing a few years ago.
Dimmer packs and switching and relay packs don't actually read ZERO volts when DMX value is set to zero. What is happening is that that the light is pulling that small amount of current and is discharging every once in a while when it buffers enough electricity.
You have a couple of solutions. Here is my suggestion: get a small night light with a very small, LOW voltage bulb, wattage is not a factor. This light will "absorb" that trickle of power, not letting the strobe get it. When you push the value up to the maximum(which is why you should use a switching pack or at least the channel in switching mode), the strobe will work, but so will the little night light. If you consider the "lesser of two evils" sort of thing, nobod is going to notice the strobe if you expose the strobe and "hide" the night light ON the power pack.
The other options include building something to take the place of the night light, to perhaps my choice which is to get a DMX strobe fixture. My strobe is wrecked due to water damage a few years ago, the reflector bowl is all a mess. The rest of the fixture is just fine. But it's not "marketable" now. IN my case, since I'm moving to intels and more into DMX fixtures, it makes more sense for me to get a DMX strobe. I have to review that discusion to see what I decided!