Dirac Live does mixed-phase room correction, a combination of IIR( PEQ & Crossover) & FIR filters..,correcting for both the amplitute(vs frequency) response as well the time domain response.
So you shouldnt need to add additional PEQ filters.
Shame on me, I installed the miniDSP SHD w/Dirac Live but havent gotten to using the built-in dirac live room calibration tool yet on the minidsp.., what I've done so far, is try the Dirac room correction using Dirac for Studio on my Mac at the source..,before it hits the DSP/DAC.
Dirac Studio (part of their Pro audio tools now - separately licensed) gives me the flexibility to use any DAC and not tied to minidsp or NAD etc...,Looking at the screenshots, both seem to have the same capabilities(ie Dirac Studio on Computer vs bundled in minidsp or say NAD).
I posted a couple of screenshots of what I did with Dirac studio on my Mac ,in the other thread..,but havent done much after that.
Its very user friendly...allowing you to shape the curve the way you want...not sure I agree with reviews painting it as a complex tool with steep learning curve.
My 2 channel music setup(renovation) still progressing - delayed due to the virus - new amp & room treatment(mostly diffusion panels, acoustic curtains over glass doors) , speaker elevation, all pending due to factory closing temporarily. So I'd rather not do EQ at this point - wait for the room to take shape , before applying any room correction, as needed, after.