Better impedance matching should deliver better dynamics and lower distortion. For example, the difference is analogous to the difference striking a drum with a proper tightly drawn drumhead versus one that is less so.
Impedance matching of output to input matters between each pair of components, from source to speakers. Pre-amp to amp and amp to speakers (refered to as "damping")are the two that get the most attention. Wires/ICs can also have impedance characteristics that matter and can be used to "tweak" the sound, but meaningful specs to chose wires based on this are hard to find and usually involves more trial and error.
Impedance matching of output to input matters between each pair of components, from source to speakers. Pre-amp to amp and amp to speakers (refered to as "damping")are the two that get the most attention. Wires/ICs can also have impedance characteristics that matter and can be used to "tweak" the sound, but meaningful specs to chose wires based on this are hard to find and usually involves more trial and error.