Live venue overloads tend to be from the low bass frequency content because most of the energy (75-95%) resides in the lower two octaves.
Directional mics by nature have considerable less response in these octaves due to common mode effect (back of the diaphragm is open to sound) that's the heart the mics ability to reflect off axis sound. As a result, directional mics physical diaphragm moves far less than a pressure type omni with totally sealed off back-of-diaphragm construction.
Choice of diaphragm material/thickness and placed distance from the fixed back plate (the 'other' plate of the capacitor) determines maximum sound pressure handling and sensitivity and some other important characteristics.
Designs are always compromises where a thick diaphragm increases loudness ability by not moving so far and will also have less signal output and reduced high frequency response. Moving the diaphragm closer to the back plate increases signal output, at the expense of lower loudness handling, and likely increase in non-linear distortions. And so it goes for quite a number of physical/electrical capsule parameters that effect each other.
And then there's another set of considerations on how the capsule is mounted and the acoustic (coloration) effects of the mic (case) body and input port(s) (grill/slots/holes/mesh, and so on).
For what I can tell, it seems Pop/Rock needs mics handing at least 125 dB SPL, and at least 135 for very metal rock or so it seems. Percussion and at times bass instruments can produce fast very intense sounds (peaks) that don't look like much on an average sound meter. An oscilloscope waveform or a very good peak meter gives chance of viewing these peaks. If a mic cannot handle the peak SPLs, then the recorded bass sound is less clear (muddy, lacks definition).
Directional mics by nature can have both high sensitivity in mid bass to higher octaves, with ability to resist bass peak SPL overload because the diaphragm is just not moving as much (bass cancellation from common mode due to open back) at those frequencies.
Personally I like sealed back transducers (pressure omni mics/acoustic suspension speakers) for having much more accurate low bass transient response (tighter drum/percussion/powerful punchy bass guitar).
Open back transducers tend to smear low frequency transient detail (over frequency phase shifting) so low bass percussive sounds are less immediate and less concise sounding. In other words, I'm quite convinced percussive sounds lose synchronicity with ported speakers, and same for directional microphones
So I stick to using acoustic suspension bass speakers and pressure omni mics for at least this reason.