Ron's answer is fair.

Whenever I train supervisors, I tell them, "read the prohibited items list; do not read into the prohibited items list."

However, the list is not all inclusive (it can't be); so supervisors have some latitude. As for the chin-up bar, I don't see it as a problem. It should not be prohibited. I think in 99% of the cases, supervisors won't have a problem with it. But as Ron pointed out, there's always that 1% exception.

I'm curious how it turned out.