Paul,
I agree with OSHA.
You choices in NFPA 70E include following Table 130.7(C)(9)(a) which requires Category 2 PPE for switch operation with enclosure doors closed, or you could have performed the detailed calculation.
Sounds like you performed the detailed calc to result in 156 cal/cm^2. At 156 cal/cm^2 you could not operate the switch since the highest recognized PPE by 70E, is up to 40 cal/cm^2.
BTW, 156 sounds high since your calculation should have been at a big working distance due to the use of the hot stick.


Ron