Automotive Audio Question: IIR Filters and minimum phase
Two minimum phase IIR filters with different magnitude responses generally will have different phase responses. But two minimum phase IIR filters with exactly same magnitude responses will exactly have same phase responses. (How can two systems with exactly same transfer functions have different magnitude/phase responses?). If the first filter is a minimum phase filter and the second filter has exactly same magnitude response but different phase response then the second filter is not minimum phase.

In contrary, two linear phase FIR filters with different magnitude responses may have exactly same phase responses when the required conditions are fulfilled. (E.g same delays, same symmetric types, and no negation).