I'm not even sure if you can do dynamic EQ with FIR? Most probably, the dynamic EQ is just a minimum phase implementation.
I'm not an expert on dynamic EQs or mutli-band compressors/limiters, but I have played with some on prosound mixers and loudspeaker processors.
Also DIY'ed a few in Q-Sys, like one shown below.
Afaict, they all tend to work by summing some filter with signal in level dependent fashion. So, basically a particular filter being activated by a side chain limiter.
The filter could be anything.....,a collection of IIR PEQ/shelves for example, or FIR filters doing the same same thing, etc.
If the dynamic filter is FIR, the main signal will have to have the same delay as the FIR filter, but otherwise no problem, and little difference in implementation.
Here's a DIY dynamic filter being used for both dynamic PEQ limiting centered around 58Hz, and for implemented a variable order high-pass filter.
Project was a bass reflex sub using the Faital 18FH500, which runs out of xmax well above the low corner.
Since I was going to the trouble of making the dynamic filter, I also added in the variable order high-pass, think I get the benefit of sealed at low SPL, and the safety needed for reflex at high SPL. I imagine this technique is getting applied to more and more active reflex subs. I think RCF is using it.
The green trace is before dynamic kicks in, blue at full SPL capability. Peak voltages were the measured amp output into a dummy load.
Personally, I wouldn't fool with using FIR for any filters used for dynamic limiting of the bottom end.
The shape of the magnitude limiting itself, will most likely dominate the phase and group delay curve. Plus, like you showed, it will take one large FIR filter....that has no complementary offset for reducing pre-ring potential.
Last reason I guess, is I kinda agree with sibergaudio,.... just use a hfp....because who cares about increased group delay below where a speaker stops producing.
And strongly agree with everyone who says fix the chuffing.
@PashkaTLT, I humbly join the crowd who says it ain't a dynamic filter task!