Hmm, a GEQ was mainly created to have at tool for correction of room disadvantages on live events for FOH systems aswell as for ringing out the monitors. They are mainly not designed for designing the sound of instruments. The main reason is that the narrow Q-factor do not sound really musical. Parametric EQs can be used more musical if you use lower values for the Q-factor. Of course you can use thePEQ also as a scalpell to remove feedback frequencies. To a PEQ is for sure more versatile than the GEQ. And the PEQ of the SQ is working really excellent.
I am wondering how legions of sound engineer are producing really superb drum sounds without using ever a GEQ. Hmm, sure, you can do it, everthing is possible but using GEQs for input channels is, as far as I experienced the las 35 years, the exception and not the rule. Frankly spoken, it was the first time I heard about it while reading this thread.
Never the less, A&H do not have GEQs as freely insertable FX within the FX rack, neither in the SQ nor in other models. If you need this desperatly, use either a plugin system like waves or another product vendor. Because I think that A&H will give you want you „need“ in the near future.