Nope, that's accurate. I started making myself reach for the handrails when I turned 40 so it would be muscle memory when I got older, and it's already saved my ass a couple of times when I've slipped on the stairs.
@scalzi.com - for reasons I can't explain, my brain remembers you urging people to use handrails, because stairs are a technology actively trying to kill you. If I've misremembered this, sorry.