More than any part of the audio reproduction chain, wiring should provide no sonic impact. To flavor the sound by swapping cables is to hide a shortcoming elsewhere. I believe most audiophiles would agree with this adage.
From my experience most folks that want their amp to impart a sound of it's own are typically tube lovers. Similarly most who want their source to have a audible signature listen to vinyl. OTOH most audiophiles admit that their speakers (the major or only transducer in the playback system) have colorations, some even wanting them.
Does changing power cords, interconnects, and/or speaker cable make noticable sonic differences? Yes, I've heard a difference in each in my own system. Can I explain it? No and I don't like not being able to explain it. I'm old school, from back when we'd use zip cord for speaker wire in SOTA systems (to use a phrase from that day). But throwing money at the problem isn't the answer (true of many things in life). I've heard $1000 speaker cables back to back. I still can't invest heavily into wiring, so $1000 is way beyond what I'd spend. They sounded different, but both had shortcomings.