What? That happens all the time around here. Whether they didn't see the light or bike itself the point is they weren't seen. I'm not sure why you want to be even more "invisible" when you yourself admit that people don't see motorcycles in the first place. Brights may not help, but then again they might, so that's enough reason for me.
Happens all the time? I would challenge that statement. Most statistics show that motocycle accidents are typically the result of A) poor training B) Alcohol C) excessive speed, or a combination of the 3.
It's overwhelmingly men involved in these accidents as well. Likely because women don't ride as much and are much more risk averse compared to men.
I believe that having your brights on does nothing but distracts drivers, because it distracts me when I'm driving. It doesn't make them any more noticable or "safe" in my opinion.