It is. I have a ponytail and before using my lathe or drill press or any rotating equipment, I put my hair up into a tight bun so things like this don't happen to me.
I'll be donating my hair in spring, so I can go back to the 1/4" buzz cut and not worry about it.
/johnny
I remember my Dad teaching me how to work safely around farm equipment. After he told me a story about a guy who got killed by getting caught in a running PTO shaft, I made it a point to always avoid anything that spins. Well except for hot ballerinas, that would be safe.