Answer: Directly
Step-by-step explanation:
If due to aging and/or lack of maintenance a PPE slows down, even just by a few cycles — the result on incident energy can be really dramatic. And if the circuit breaker refuses to open at all, the incident energy may increase by ten times or more. It really depends on how the next OverCurrent Protective Device (OCPD) upstream sees the fault.
So the arc flash hazard that may occur during an arc flash event is DIRECTLY dependent on the OCPD that is protecting the equipment.