It looks like Dave is onto something there. A quick search shows that there is no real standard in the industry as to how often to cycle the LEDs and how many cycles are off to represent a dimmed condition (actually handled by widening and narrowing the pulse width). Apparently, the better units do it much faster and with less noise than the top end of 60fps of video, so you won't normally see it. Cheaper LED units are probably more suspect as they typically use a cheaper power supply.
If you shoot at film speeds (24 fps) or at 30fps, you shouldn't have an issue, but it looks like a lot depends on what the lighting is.