You've really got to know how the spec is generated to know whether it is useful or not.
For example if the NRR rating is the max noise reduction it is essentially meaningless. Say the time the boom from your gun lasts is 10msecs. Assume that at 5ms the db of the boom is 165db (not uncommon). At 3ms the boom might be at 120db. If the response time of the electronics to achieve that 33db NRR is 7msecs then you really don't get 33db NRR. The max your ears are exposed to is what ever the NRR is at 5msecs which is when the example assumed peak noise level is reached.
I don't quite understand what you're saying. Isn't the NRR only for the passive, non-electronic function of the muffs? (i.e. when the electronics are off) In a fancy set like this, the electronics would then apply dynamic range compression to the sound its microphones pick up and reproduce it at whatever volume level you set, rather than cutting in and out like cheap electronics would. There may be a short, constant, fixed delay added to the sound because of the processing, but if implemented properly it's not going to allow any excessively loud sounds to be reproduced (the built-in speakers can only play so loud anyway). Am I missing something here?
If it takes the electronics less then the example of 5msecs to reach the 33NRR level then you're good to go but as long as the response time is longer than it takes for the boom to achieve max db level then you're not getting the published NRR. Cheap electronics typically take longer to achieve max NRR than good electronics which quite often is directly correlated to the price you pay for those electronic ears.
Is the published NRR really related to the function of the electronics? What happens when the electronics are off? Would the NRR then be higher?