I think there is another advantage to using THE WEAVE, apart from making yourself more visible. You look dangerous! "Martha, I think that damn squid is drunk!" If drivers not only see you but also see you as a threat, chances are they will try to protect themselves - which of course protects you.
But the usual caveat - "Nothing works 100%" - still applies. Some people are so engrossed in everything but driving that they wouldn't see a fluorescent orange moose standing sideways in their lane with flashing lights from antlers to tail. Still, I believe a white helmet, brighter riding gear, extra lighting, and the SMIDSY weave result in far fewer times where you have to take serious evasive action. And that is a good thing.
One further advantage of THE WEAVE (as opposed to brighter gear and more lights) is that you have to PAY ATTENTION to use it. If you use the weave, it is because you have noticed a possible problem well before it becomes an immediate problem. I believe paying serious attention to the riding environment and anticipating possible problems is the surest way to arrive at your destination with body and bike intact. Nothing guaranteed, of course. But it's always good to up the odds in your favor.