Does the EQ Block introduce a Phase Shift?

Linear phase EQ only works in post because the latency is problematic for real time performance, unless only used for very high frequencies such as in anti aliasing low pass filters.
I believe the EQ in the axe uses the IIR method (infinite impulse response). The other category of digital EQs are FIR (finite impulse response). Linear phase EQ is a type of FIR which by definition introduces latency. Minimum phase EQs are also FIR but are zero latency.
The cab block and IR player block load FIRs. You could technically load a linear phase EQ into the cab block but it would be really annoying.
 
You can't have linear phase EQ without latency. The physics doesn't allow it.

All standard EQ introduces phase shifts to some degree, as that is inherent to the design.

I got laughed at recently for saying that I don't always use high-pass and low-pass filters purely as a matter of course. Because sometimes I don't want the inherent phase shift, and sometimes I have to accept it for a greater good. But it isn't always automatically the superior method to HP or LP your signal.

A shelving filter is often preferable from a phase perspective.
 
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