It needn't be multiscale entropy precisely, but anything similar to it.
The way I intuit it, though I could be wrong, is that as you have a "ground level" or "close" measurement of white noise, it appears complex and varied. As you go up and up in the scale, you get the "eagle eye's view" of white noise, you realize "oh shit, it's all kinda the same!"
So it wouldn't necessarily prove anything, but if the entropy dropped as you scaled, it would show that the pattern isn't really that complex, and there's a lot of hidden redundancy. I mean it is called a "pattern" after all to be fair.