I can't jog at 20mph. Helmets aren't about the likelihood of an accident, rather they're about the severity of an accident regardless of likelihood.

I didn’t say jogging was faster than cycling, I said it’s about as dangerous. Which is what the data from the study cited in the video shows. So i’m not sure why you’re bringing up speed.

Are you claiming that jogging is as dangerous, in terms of level of injury as cycling? That seems implausible to me. I would be curious what you base that on. My initial assumption was that your belief is that you're as likely to suffer and accident while jogging or cycling.

I encourage you to watch the video and check out the sources instead of relying on your initial assumption!