You had been downvoted at the time of my reply. I don't know why - you make some good points.
> But let's make the argument based on sound reasoning and data, not insults and "common sense".
I strongly agree. When someone talks about homeopathy it's easy to dismiss it as nonsense, and we only need a few studies to tell us it's nonsense. But when someone makes a calm, sensible claim with a reasonable method of action ("helmets protect the brain") it's more important to get good quality science to investigate these claims, to eliminate our biases and to eliminate confounding factors.
Imagine a crash where someone's head scrapes along the ground. Now give that person a helmet. With the wrong materials the helmet will "snag" the ground. This could mean that the head sticks while the body keeps going, risking severe spinal injury.
While the science around driver perception of helmet-wearing cyclists is weak it's a reasonable statement - "drivers give less room to people wearing helmets because they assume a better rider". That could be testable in driving simulators, and that would give use good quality data.
It's nice to hear anecdote. "I wear a helmet because ..." or "I don't wear a helmet because ..." are good things to hear. It gives context to the data and the science. But these are not reasons for everyone to follow the advice.